A car goes around uniform circular track of radius R at a uniform speed v once in every T seconds. The magnitude of the centripetal acceleration is a _ c If the car now goes uniformly around a larger circular track of radius 2 R and experie

Question

A car goes around uniform circular track of radius R at a uniform speed v once in every T seconds. The magnitude of the centripetal acceleration is a _ c If the car now goes uniformly around a larger circular track of radius 2 R and experiences a centripetal acceleration of magnitude 8 a _ c , then its time period is

Quantrex Academy · Accepted Answer

Correct answer: C. T / 2

T = 2 R V a _ C = V ² R 8 a _ C = V ^ 2 2 R (8) V ² R = V ^ 2 2 R V ^ 2 =16 ~V ² ~V ^ =4 ~V Time period = (2 ) R ^ V ^ = (2 ) 2 R 4 ~V = R V =( T / 2)

Options

Correct answer

Step-by-step solution

More from Motion in Two Dimensions