All flashcards
Flashcard 1: Find frequency: T=0.1 s.
Answer: 10 Hz. Using f=1/T=1/0.1=10 Hz.
Flashcard 2: What is the relationship between period and angular velocity?
Answer: ω=T2π. One complete revolution takes period T.
Flashcard 3: Identify the force responsible for circular motion.
Answer: Centripetal force. Net inward force maintains circular path.
Flashcard 4: Calculate period: f=0.5 Hz.
Answer: 2 s. Using T=1/f=1/0.5=2 s.
Flashcard 5: Calculate frequency: T=0.25 s.
Answer: 4 Hz. Using f=1/T=1/0.25=4 Hz.
Flashcard 6: What is centripetal acceleration?
Answer: Acceleration directed towards the center of circular path. Always points inward, creating circular motion.
Flashcard 7: What is angular velocity?
Answer: Rate of change of angular displacement. How fast angle changes with time.
Flashcard 8: Define period in circular motion.
Answer: Time to complete one full revolution. Complete cycle duration in circular motion.
Flashcard 9: State the formula for angular displacement.
Answer: θ=ωt. Angle equals angular velocity times time.
Flashcard 10: State the relationship between period and frequency.
Answer: T=f1. Period and frequency are reciprocals.
Flashcard 11: Calculate tangential velocity: r=3 m, ω=2 rad/s.
Answer: 6 m/s. Using v=rω=3×2=6 m/s.
Flashcard 12: What is the relationship between tangential speed and radius?
Answer: Directly proportional. Larger radius gives higher tangential speed.
Flashcard 13: Identify the cause of centripetal acceleration.
Answer: Change in direction of velocity. Velocity direction changes continuously in circles.
Flashcard 14: Define radial acceleration.
Answer: Acceleration towards the center of circular path. Same as centripetal acceleration definition.
Flashcard 15: Find the force: m=3 kg, ac=4 m/s².
Answer: 12 N. Using F=ma=3×4=12 N.
Flashcard 16: State the formula for angular velocity.
Answer: ω=ΔtΔθ. Change in angle divided by time interval.
Flashcard 17: Calculate centripetal force: m=2 kg, v=3 m/s, r=1 m.
Answer: 18 N. Using Fc=mv2/r=2(32)/1=18 N.
Flashcard 18: Describe the relationship between frequency and angular velocity.
Answer: ω=2πf. One revolution equals 2π radians.
Flashcard 19: Find the period given frequency of 2 Hz.
Answer: 0.5 s. Using T=1/f=1/2=0.5 s.
Flashcard 20: State the formula for centripetal force.
Answer: Fc=rmv2. Newton's second law applied to circular motion.
Flashcard 21: What is uniform circular motion?
Answer: Motion in a circle with constant speed. Constant speed but changing direction.
Flashcard 22: What is the unit of angular velocity?
Answer: Radians per second (rad/s). Standard unit for rotational speed.
Flashcard 23: Define angular displacement.
Answer: Angle through which a point or line is rotated. Measures rotational position change.
Flashcard 24: State the formula for centripetal acceleration.
Answer: ac=rv2. Speed squared divided by radius gives centripetal acceleration.
Flashcard 25: What is the direction of centripetal force?
Answer: Towards the center of the circular path. Always points inward to maintain circular path.
Flashcard 26: Define frequency in circular motion.
Answer: Number of revolutions per unit time. How many cycles occur per second.
Flashcard 27: What is tangential velocity?
Answer: Velocity tangent to the circular path. Speed along the circular path's edge.
Flashcard 28: Calculate centripetal acceleration: v=4 m/s, r=2 m.
Answer: 8 m/s². Using ac=v2/r=42/2=8 m/s².
Flashcard 29: Find angular velocity: θ=π/2 rad, t=2 s.
Answer: π/4 rad/s. Using ω=θ/t=(π/2)/2=π/4 rad/s.
Flashcard 30: What is the effect of increasing radius on centripetal force?
Answer: Decreases centripetal force for constant velocity. Force inversely proportional to radius.