Posted by **mymi** on Friday, October 21, 2011 at 12:04am.

A monster truck has tires with a diameter of 1.10 m and is traveling at 30.0 m/s. After the brakes are applied, the truck slows uniformly and is brought to rest after the tires rotate through 49.0 turns.

(a) What is the initial angular speed of the tires?

(b) What is the angular acceleration of the tires? (Enter the magnitude only.)

(c) What distance does the truck travel before coming to rest?

- Physics. -
**Henry**, Saturday, October 22, 2011 at 5:05pm
Given: D = 1.1m., V0 = 30m/s, 49rev.

C = pi*D = 3.14 * 1.1 = 3.46m. = Circumference of tirs.

a. Vo = 30m/s * 6.28rad/3.46m = 54.5rad/s.

b. d = 49rev * 3.46m/rev = 169.3m =

stopping dist.

a = (Vf^2 - Vo^2) / 2d,

a = (0 - (30)^2) / 338.6 = -2.66m/s^2 =

Linear acceleration.

a = -2.66m/s^2 * 6.28rad/3.46m =

-4.82rad/s^2. = Angular acceleration.

c. d = 49rev * 3.46m/rev = 169.3m.

## Answer this Question

## Related Questions

- Math - The speedometer of John's truck uses the revolutions of his tires to ...
- physics - A 4000 kg truck traveling at constant velocity and a braking force of ...
- physics - Rubber tires and wet blacktop have a coefficient of kinetic friction ...
- 3rd grade math - A 16 wheler truck has 16 tires. The cab of a 16 wheeler has 6 ...
- math - 72 tires are changed between a small and large truck over 8 weeks. The ...
- physics - An automobile traveling at 50.0 km/h has tires of 100.0 cm diameter. (...
- physics - The driver of a truck slams on the brakes when he sees a tree blocking...
- physics - A truck is traveling at 12 m/s down a hill when the brakes on all four...
- Physics - The driver of a truck slams on the brakes when he sees a tree blocking...
- physics - A crate rests on a flatbed truck which is initially traveling at 17.8 ...