 Classical Mechanics

# 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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