Question

one end of a rod is pivoted and the rod is rotating in a horizontal plane at a angular speed w. A tiny bug on the rod moves away from the fixed end at a constant speed at u with respect to the rod. Which of the following is true about its centripetal acceleration? a)it remains ,but not at the rate uw2 b)it remains constant c)it decreases at the rate uw2 d)it increases at the rate uw2 which one is true?

Answer 1

Answer:

A thin uniform rod, pivoted at O, is rotating in the horizontal plane with constatn angular speed

, as shown in the figure. At time t = 0, a small insect starts from O and moves with constant sped v, with respect to the rod towards the other end. It reaches the end of the rod at t =T and stops. The angular speed of the system remains

Explanation:

Hope it will help you

Answer 2

Answer:

The answer to this question is Option C.

Explanation:

The centripetal acceleration of an object moving in a circular path is the acceleration towards the centre of the circle. For a tiny bug on a rotating rod, the centripetal acceleration will depend on the angular speed of the rod and the speed of the bug with respect to the rod.

Option a) "it remains constant, but not at the rate uw^2" is incorrect. If the centripetal acceleration is constant, it will have a constant rate of change, not some other rate.

Option b) "it remains constant" is also incorrect. As the bug moves away from the pivot point, the radius of its circular path increases, which means that the centripetal acceleration will decrease.

Option c) "it decreases at the rate. $uw^{2}$ is true. As the bug moves away from the pivot point, the radius of its circular path increases, which means that the centripetal acceleration will decrease. The rate of decrease will be. $uw^{2}$ because it is inversely proportional to the radius of the circular path and is directly proportional to the square of the angular speed.

Option d) "it increases at the rate. $uw^{2}$ is incorrect. The centripetal acceleration is decreasing as the bug moves away from the pivot point.

In summary, the correct option is c) "it decreases at the rate. $uw^{2}$. The bug's speed with respect to the rod u and the angular speed of the rod w are responsible for the centripetal acceleration and as the bug moves away from the pivot point, the radius of its circular path increases, thus the centripetal acceleration decreases at the rate $uw^{2}$.

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