A car is traveling at 98.7 km/hr. The tires have a radius R = 38.4 cm. (a) What

Question

                 A car is traveling at 98.7 km/hr. The tires have a radius R = 38.4 cm. (a) What is the angular speed of the tire (in SI units)? (b) What is the centripetal                 acceleration (m/s^2) of a piece of tire on the outer edge?                               A car is traveling at 98.7 km/hr. The tires have a radius R = 38.4 cm. (a) What is the angular speed of the tire (in SI units)? (b) What is the centripetal                 acceleration (m/s^2) of a piece of tire on the outer edge?             

Explanation / Answer

the speed of the car is v = 98.7 km/hr = 98.7 x (1000/3600) m/s = 98.7 x (5/18) m/s

the radius of the tire is R = 38.4 cm = 38.4 x 10^-2 m

let w be the angular speed

we know that

v = R x w

or w = (v/R)

the centripetal acceleration is

a = (v^2/R)

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