AP EAMCET · PHYSICS · Motion In Two Dimensions
A car is travelling at \(30 \mathrm{~ms}^{-1}\) speed on a circuiar road of radius \(300 \mathrm{~m}\). If its speed is increasing at the rate of 4 \(\mathrm{ms}^{-2}\), then its acceleration is
- A \(2.7 \mathrm{~ms}^{-2}\)
- B \(3 \mathrm{~ms}^{-2}\)
- C \(4 \mathrm{~ms}^{-2}\)
- D \(5 \mathrm{~ms}^{-2}\)
Answer & Solution
Correct Answer
(D) \(5 \mathrm{~ms}^{-2}\)
Step-by-step Solution
Detailed explanation
Velocity of car, V=30 m/s Radius of road, \(\mathrm{R}=300 \mathrm{~m}\). Tangential acceleration, \(a_T=4 \mathrm{~m} / \mathrm{s}^2\) Centripetal acceleration, \(\mathrm{a}_{\mathrm{C}}=\frac{\mathrm{V}^2}{\dot{\mathrm{R}}}\)…
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