a) A toy car of mass m = 1.46 kg is on a circular track of radius r = 13.1 cm. T

Question

a) A toy car of mass m = 1.46 kg is on a circular track of radius r = 13.1 cm. The car starts at initial speed vo = 1.03 m/s, and accelerates at a constant rate to final speed vf = 2.55 m/s while making 0.381 complete revolutions around the track Find:

- ?, the magnitude of the angular acceleration of the car.
1 rad/s2

- t, the time it took to reach the final speed.
2 s

b) At the instant the car in question a reaches its final speed, find:

- f, the magnitude of the frictional force exerted by the track on the car tires to keep the car in a circle.
3 N

- a, the magnitude of the total acceleration of the car.
4 m/s2

c) A disk rotates about a fixed axis through its center of mass and perpendicular to the disk. It starts from rest, and reaches angular speed ? after 9.5 revolutions. Assuming the angular acceleration is constant: how many more revolutions would it take the disk to reach an angular speed of ?f = 6.63??
5 revolutions

Explanation / Answer

a) 66.23 rad/s^2
0.175 sec
b) 72.47 N
50.39 m/s^2
first find acceleration , using Vf^2 - Vi^2 = 2as , s is obtained by 0.381 x 2r , then divide the "a" thus obtained by r to get angular acceleration , t is obtained by Vf - Vi = at

frictional force = mv^2/r
rate the most explanatory first and then other answers

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