Solveeit Logo
Login

Question

Question: A cyclist starts from centre O of a circular park of radius 1 km and moves along the path OPRQO as s...

A cyclist starts from centre O of a circular park of radius 1 km and moves along the path OPRQO as shown in figure. If he maintains constant speed of 10 m s-1, what is his acceleration at point R?

A

10 m s-2 (10 m/s2)

B

0.1 m s-2 (0.1 m/s2)

C

0.01 m s-2 (0.01 m/s2)

D

1 m s_2 (1 m/s2)

Answer

0.1 m s-2 (0.1 m/s2)

Explanation

Solution

The accelerations at point R is towards the centre of the circle.

Here, v=ms−1v = ms^{- 1}, r = 1 km = 1000m

Centripetal accelerations,

ac=v2r=(10ms−1)21000m=0.1ms−2a_{c} = \frac{v^{2}}{r} = \frac{(10ms^{- 1})^{2}}{1000m} = 0.1ms^{- 2}