PYQ Vault
EbooksTutor

Tangential acceleration equal to centripetal acceleration: time for part of a revolution

The same question, asked 2 times: 29 Jan 2023*, 29 Jan 2024. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    29 Jan 2023

    114
    A car is moving on a circular path of radius 600 m600\text{ }m such that the magnitudes of the tangential acceleration and centripetal acceleration are equal. The time taken by the car to complete first quarter of revolution, if it is moving with an initial speed of 54 km/hr54\text{ }km/hr is t(1−e−π/2)st\left( 1 -e^{- \pi/2} \right)s. The value of tt is_____

  2. Question 2

    29 Jan 2024

    119
    A particle is moving in a circle of radius 50 cm50\text{ }cm in such a way that at any instant the normal and tangential components of its acceleration are equal. If its speed at t=0t = 0 is 4 m/s4\text{ }m/s, the time taken to complete the first revolution will be 1α[1−e−2π]s\frac{1}{\alpha}\left\lbrack 1 -e^{- 2\pi} \right\rbrack s, where α=\alpha= ______