A cyclist starts from rest and pedals such that thewheels of his bike have a con

Question

A cyclist starts from rest and pedals such that thewheels of his bike have a constant angular acceleration. After 16.0s, the wheels have made 126 rev. a. What is the angular acceleration of thewheels?

b. What is the angular velocity of the wheelsafter 16.0 s?
c. If the radius of the wheel is 30.0 cm, andthe wheel rolls without slipping, how far has the cyclist traveledin 16.0 s?

A cyclist starts from rest and pedals such that thewheels of his bike have a constant angular acceleration. After 16.0s, the wheels have made 126 rev. a. What is the angular acceleration of thewheels?

b. What is the angular velocity of the wheelsafter 16.0 s?

Explanation / Answer

it is easier to first find the final angular velocity. since the angular acceleration is constant we know that: =avg*t 126*2=avg*16 avg=49.48 rad/s avg=(final+initial)/2 49.48=(final+0)/2 final=98.96 rad/s the angular acceleration is then: =initial+*t 98.96=0+*16 =6.185 rad/s2 the distance traveled would be: 126*2**.3=237.5 meters

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