Calculate the centripetal acceleration, ac, of various objects. Yelena is drivin

Question

Calculate the centripetal acceleration, ac, of various objects. Yelena is driving her car on a dry, non-slippery road. The car moves forward with a speed of 23.5 m/s. What is the centripetal acceleration of the tire which has a radius of 0.41 m? Arek is riding his bicycle on a non-slippery bike path. The wheel has a radius of 735 mm. The bike moves forward at 9.35 m/s. What is the wheel's centripetal acceleration? Jolie the hamster is using his hamster wheel which has a diameter of 26.6 cm. A point on the wheel is moving at 0.11 m/s. What is the hamster wheel's centripetal acceleration?

Explanation / Answer

According to the given problem,

Using the relationship for centrepeta accelaration

ac = centrepetal acceleration.

ac = v2/r or 2r where, v is velocity, is the angular speed and r is the radius

a) ac = 23.52/0.41 = 1346.95m/s2

b) ac = 9.352/0.735 = 118.94 m/s2

c) ac = 0.112/0.133 = 0.090977 m/s2

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