A car is travelling with a constant speed of 29.8 m/s. The car is equipped with

Question

A car is travelling with a constant speed of 29.8 m/s. The car is equipped with 205/65 R15 tires that have radius equal to 0.325 m. Find the angular velocity and the centripetal acceleration of a small stone logded in the thread of one of the tires. How many times larger is that centripetal acceleration compared to the acceleration due to gravity (g = 9.80 m/s2)?

A)Angular velocity is

B)Centripetal acceleration is

C)How many times larger is that centripetal acceleration compared to the acceleration due to gravity

Explanation / Answer

Speed v=29.8 m/s

Radius R =0.325 m

A. Angular velocity = = v/R

= 29.8/0.325

= 91.692 rad/s

B Centripetal Acceleration = v^2/R

=2732.431 m/s^2

C. centripetal acceleration = 2732.431/9.8 = 278.819

Centripetal accn. is 278.819 times greater than g

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