Physics.
posted by mymi .
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?

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.
Respond to this Question
Similar Questions

physics
A truck is traveling at 12 m/s down a hill when the brakes on all four wheels lock. The hill makes an angle θ = 15° with respect to the horizontal. The coefficient of kinetic friction between the tires and the road is 0.7. How … 
physics
A 4000 kg truck traveling at constant velocity and a braking force of 20000 N is suddenly applied. It takes 6 seconds for the truck to stop. a) what is the deceleration of the truck? 
physics
An automobile traveling at 50.0 km/h has tires of 100.0 cm diameter. (a) What is the angular speed of the tires about their axles? 
Math
The speedometer of John's truck uses the revolutions of his tires to calculate the speed of the truck. How many revolutions per minute do the tires make when the truck is traveling at 55 miles per hour? 
physics
A truck at rest at a stoplight accelerates uniformly with acceleration a = 8 meters/second2 for 5.5 seconds after the light turns green. What is the speed of the truck in meters/second after that time interval? 
physics
A truck at rest at a stoplight accelerates uniformly with acceleration a = 9 meters/second2 for 6.8 seconds after the light turns green. What is the speed of the truck in meters/second after that time interval? 
math
72 tires are changed between a small and large truck over 8 weeks. The large truck has 3 times as many tires as the small truck. How many tires does the small truck have? 
physics
The driver of a truck slams on the brakes when he sees a tree blocking the road. The truck slows down uniformly with an acceleration of 5.60 m/s2 for 4.20 s, making skid marks 62.4 m long that end at the tree. With what speed does … 
3rd grade math
A 16 wheler truck has 16 tires. The cab of a 16 wheeler has 6 tires. how many tires are on 11 truck cabs? 
physics
Rubber tires and wet blacktop have a coefficient of kinetic friction of 0.5. A pickup truck with a mass 750 kg traveling 30.0 m/s skids to a stop. (a) what is the size and direction of the frictional force that the road exerts on the …