Question

A bike of mass 100 kg moving at 15 m/s, takes a turn around a circle of radius 30 m. What is the centripetal acceleration of the bike?

a) 0.5 m/s²
b) 3.3 m/s²
c) 5 m/s²
d) 15 m/s²

Answer 1

The centripetal acceleration of the bike taking a turn around a circle with a radius of 30 m, at a velocity of 15 m/s, is 7.5 m/s², which is not represented by the provided answer choices.

Step-by-step explanation:

The centripetal acceleration of a bike can be calculated using the formula ℓ = v²/r, where ℓ is the centripetal acceleration, v is the velocity of the bike, and r is the radius of the circle. In this case, the velocity (v) is 15 m/s and the radius (r) is 30 m. Applying the values to the formula, we get ℓ = (15 m/s)² / 30 m = 225 m²/s² / 30 m = 7.5 m/s². Therefore, none of the options provided (a) 0.5 m/s², (b) 3.3 m/s², (c) 5 m/s², or (d) 15 m/s² correctly represent the bike's centripetal acceleration.