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Question: Answered & Verified by Expert
A car is moving with speed $30 \mathrm{~ms}^{-1}$ on a circular path of radius $500 \mathrm{~m}$. Its speed is increasing at a rate of $2 \mathrm{~ms}^{-2}$, what is the acceleration of the car?
PhysicsMotion In Two DimensionsMHT CETMHT CET 2009
Options:
  • A $2 \mathrm{~ms}^{-2}$
  • B $2.7 \mathrm{~ms}^{-2}$
  • C $1.82 \mathrm{~ms}^{-2}$
  • D $9.82 \mathrm{~ms}^{-2}$
Solution:
2202 Upvotes Verified Answer
The correct answer is: $2.7 \mathrm{~ms}^{-2}$
Net acceleration in non-uniform circular motion,
$$
=\sqrt{(2)^{2}+\left[\frac{900}{500}\right]^{2}}=2.7 \mathrm{~ms}^{-2}
$$

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