1) A car travels at a constant speed around a circular track whose radius is 2.9

Question

1)

A car travels at a constant speed around a circular track whose radius is 2.9 km. The car goes once around the track in 400 s. What is the magnitude of the centripetal acceleration of the car?
m/s2

2)

Car A uses tires for which the coefficient of static friction is 1.1 on a particular unbanked curve. The maximum speed at which the car can negotiate this curve is 30 m/s. Car B uses tires for which the coefficient of static friction is0.6 on the same curve. What is the maximum speed at which car B can negotiate the curve?
m/s

3)

In the figure the man hanging upside down is holding a partner who weighs 495 N. Assume that the partner moves on a circle that has a radius of 6.50 m. At a swinging speed of 4.65 m/s, what force must the man apply to his partner in the straight-down position?
N

4)

On a banked race track, the smallest circular path on which cars can move has a radius of 108 m, while the largest has a radius 155 m, as the drawing illustrates. The height of the outer wall is 18 m.

(a) Find the smallest speed at which cars can move on this track without relying on friction.
m/s

(b) Find the largest speed at which cars can move on this track without relying on friction.
m/s

A car travels at a constant speed around a circular track whose radius is 2.9 km. The car goes once around the track in 400 s. What is the magnitude of the centripetal acceleration of the car? Car A uses tires for which the coefficient of static friction is 1.1 on a particular unbanked curve. The maximum speed at which the car can negotiate this curve is 30 m/s. Car B uses tires for which the coefficient of static friction is0.6 on the same curve. What is the maximum speed at which car B can negotiate the curve? In the figure the man hanging upside down is holding a partner who weighs 495 N. Assume that the partner moves on a circle that has a radius of 6.50 m. At a swinging speed of 4.65 m/s, what force must the man apply to his partner in the straight - down position? On a banked race track, the smallest circular path on which cars can move has a radius of 108 m, while the largest has a radius 155 m, as the drawing illustrates. The height of the outer wall is 18 m. Find the smallest speed at which cars can move on this track without relying on friction. Find the largest speed at which cars can move on this track without relying on friction.

Explanation / Answer

1 First we need the linear velocity

C = 2 Pi r = 2 * 3.14... * 2.9 = 18.22 km = 18,221.23 m

V = D/T = 18,221.23 m / 350 s = 52.06 m/s

A = V^2/r = (52.06 m/s)^2 / 2900 m = 0.93 m/s^2

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