Classical Mechanics

Circular Motion

Uniform circular motion - Basic


A racing car moving at a constant tangential speed of \( 44 \text{ m/s} \) on a circular track takes one lap around the track in \( 45 \text{ seconds.} \) Determine the approximate magnitude of the acceleration of the car.

A \( 11 \text{ kg} \) rock swings in a circle of radius \( 10 \text{ m}\) at a constant speed of \( 7 \text{ m/s}. \) What is the centripetal acceleration?

A \( 5 \text{ kg} \) rock swings in a vertical circle of radius \( 2 \text{ m}. \) The speed of the rock as it passes its lowest point is \( 10 \text{ m/s}. \) What is the tension \( T \) acting on the rock as it passes its lowest point?

The gravitational acceleration is \( g= 10 \text{ m/s}^2. \)

An object that moves in uniform circular motion has a centripetal acceleration of \( 11 \text{ m/s}^2. \) If the radius of the motion is \( 0.02 \text{ m}, \) what is the approximate frequency of the motion?

A skater is skating at \( 14 \text{ m/s} \) on a circle of radius \( 4 \text{ m}. \) The ice exerts a central force of \( 2058 \text{ N} \) on the skater. What is the mass of the skater?


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