Circular Motion - AP Physics 1
Card 1 of 30
Find frequency: $T=0.1$ s.
Find frequency: $T=0.1$ s.
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$10$ Hz. Using $f = 1/T = 1/0.1 = 10$ Hz.
$10$ Hz. Using $f = 1/T = 1/0.1 = 10$ Hz.
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What is the relationship between period and angular velocity?
What is the relationship between period and angular velocity?
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$\omega = \frac{2\pi}{T}$. One complete revolution takes period $T$.
$\omega = \frac{2\pi}{T}$. One complete revolution takes period $T$.
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Identify the force responsible for circular motion.
Identify the force responsible for circular motion.
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Centripetal force. Net inward force maintains circular path.
Centripetal force. Net inward force maintains circular path.
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Calculate period: $f=0.5$ Hz.
Calculate period: $f=0.5$ Hz.
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$2$ s. Using $T = 1/f = 1/0.5 = 2$ s.
$2$ s. Using $T = 1/f = 1/0.5 = 2$ s.
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Calculate frequency: $T=0.25$ s.
Calculate frequency: $T=0.25$ s.
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$4$ Hz. Using $f = 1/T = 1/0.25 = 4$ Hz.
$4$ Hz. Using $f = 1/T = 1/0.25 = 4$ Hz.
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What is centripetal acceleration?
What is centripetal acceleration?
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Acceleration directed towards the center of circular path. Always points inward, creating circular motion.
Acceleration directed towards the center of circular path. Always points inward, creating circular motion.
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What is angular velocity?
What is angular velocity?
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Rate of change of angular displacement. How fast angle changes with time.
Rate of change of angular displacement. How fast angle changes with time.
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Define period in circular motion.
Define period in circular motion.
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Time to complete one full revolution. Complete cycle duration in circular motion.
Time to complete one full revolution. Complete cycle duration in circular motion.
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State the formula for angular displacement.
State the formula for angular displacement.
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$\theta = \omega t$. Angle equals angular velocity times time.
$\theta = \omega t$. Angle equals angular velocity times time.
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State the relationship between period and frequency.
State the relationship between period and frequency.
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$T = \frac{1}{f}$. Period and frequency are reciprocals.
$T = \frac{1}{f}$. Period and frequency are reciprocals.
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Calculate tangential velocity: $r=3$ m, $\omega=2$ rad/s.
Calculate tangential velocity: $r=3$ m, $\omega=2$ rad/s.
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$6$ m/s. Using $v = r\omega = 3 \times 2 = 6$ m/s.
$6$ m/s. Using $v = r\omega = 3 \times 2 = 6$ m/s.
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What is the relationship between tangential speed and radius?
What is the relationship between tangential speed and radius?
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Directly proportional. Larger radius gives higher tangential speed.
Directly proportional. Larger radius gives higher tangential speed.
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Identify the cause of centripetal acceleration.
Identify the cause of centripetal acceleration.
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Change in direction of velocity. Velocity direction changes continuously in circles.
Change in direction of velocity. Velocity direction changes continuously in circles.
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Define radial acceleration.
Define radial acceleration.
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Acceleration towards the center of circular path. Same as centripetal acceleration definition.
Acceleration towards the center of circular path. Same as centripetal acceleration definition.
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Find the force: $m=3$ kg, $a_c=4$ m/s².
Find the force: $m=3$ kg, $a_c=4$ m/s².
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$12$ N. Using $F = ma = 3 \times 4 = 12$ N.
$12$ N. Using $F = ma = 3 \times 4 = 12$ N.
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State the formula for angular velocity.
State the formula for angular velocity.
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$\omega = \frac{\Delta\theta}{\Delta t}$. Change in angle divided by time interval.
$\omega = \frac{\Delta\theta}{\Delta t}$. Change in angle divided by time interval.
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Calculate centripetal force: $m=2$ kg, $v=3$ m/s, $r=1$ m.
Calculate centripetal force: $m=2$ kg, $v=3$ m/s, $r=1$ m.
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$18$ N. Using $F_c = mv^2/r = 2(3^2)/1 = 18$ N.
$18$ N. Using $F_c = mv^2/r = 2(3^2)/1 = 18$ N.
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Describe the relationship between frequency and angular velocity.
Describe the relationship between frequency and angular velocity.
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$\omega = 2\pi f$. One revolution equals $2\pi$ radians.
$\omega = 2\pi f$. One revolution equals $2\pi$ radians.
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Find the period given frequency of 2 Hz.
Find the period given frequency of 2 Hz.
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0.5 s. Using $T = 1/f = 1/2 = 0.5$ s.
0.5 s. Using $T = 1/f = 1/2 = 0.5$ s.
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State the formula for centripetal force.
State the formula for centripetal force.
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$F_c = \frac{mv^2}{r}$. Newton's second law applied to circular motion.
$F_c = \frac{mv^2}{r}$. Newton's second law applied to circular motion.
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What is uniform circular motion?
What is uniform circular motion?
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Motion in a circle with constant speed. Constant speed but changing direction.
Motion in a circle with constant speed. Constant speed but changing direction.
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What is the unit of angular velocity?
What is the unit of angular velocity?
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Radians per second (rad/s). Standard unit for rotational speed.
Radians per second (rad/s). Standard unit for rotational speed.
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Define angular displacement.
Define angular displacement.
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Angle through which a point or line is rotated. Measures rotational position change.
Angle through which a point or line is rotated. Measures rotational position change.
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State the formula for centripetal acceleration.
State the formula for centripetal acceleration.
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$a_c = \frac{v^2}{r}$. Speed squared divided by radius gives centripetal acceleration.
$a_c = \frac{v^2}{r}$. Speed squared divided by radius gives centripetal acceleration.
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What is the direction of centripetal force?
What is the direction of centripetal force?
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Towards the center of the circular path. Always points inward to maintain circular path.
Towards the center of the circular path. Always points inward to maintain circular path.
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Define frequency in circular motion.
Define frequency in circular motion.
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Number of revolutions per unit time. How many cycles occur per second.
Number of revolutions per unit time. How many cycles occur per second.
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What is tangential velocity?
What is tangential velocity?
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Velocity tangent to the circular path. Speed along the circular path's edge.
Velocity tangent to the circular path. Speed along the circular path's edge.
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Calculate centripetal acceleration: $v=4$ m/s, $r=2$ m.
Calculate centripetal acceleration: $v=4$ m/s, $r=2$ m.
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$8$ m/s². Using $a_c = v^2/r = 4^2/2 = 8$ m/s².
$8$ m/s². Using $a_c = v^2/r = 4^2/2 = 8$ m/s².
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Find angular velocity: $\theta=\pi/2$ rad, $t=2$ s.
Find angular velocity: $\theta=\pi/2$ rad, $t=2$ s.
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$\pi/4$ rad/s. Using $\omega = \theta/t = (\pi/2)/2 = \pi/4$ rad/s.
$\pi/4$ rad/s. Using $\omega = \theta/t = (\pi/2)/2 = \pi/4$ rad/s.
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What is the effect of increasing radius on centripetal force?
What is the effect of increasing radius on centripetal force?
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Decreases centripetal force for constant velocity. Force inversely proportional to radius.
Decreases centripetal force for constant velocity. Force inversely proportional to radius.
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