AP EAMCET · PHYSICS · Motion In One Dimension
A car is moving with a speed of \(30 \mathrm{~ms}^{-1}\) on a circular path of radius \(500 \mathrm{~m}\). If its speed is increasing at the rate of \(2 \mathrm{~ms}^{-2}\), then find its acceleration.
- A \(2.0 \mathrm{~ms}^{-2}\)
- B \(1.8 \mathrm{~ms}^{-2}\)
- C \(9.8 \mathrm{~ms}^{-2}\)
- D \(2.7 \mathrm{~ms}^{-2}\)
Answer & Solution
Correct Answer
(D) \(2.7 \mathrm{~ms}^{-2}\)
Step-by-step Solution
Detailed explanation
Given, initial speed, \(u=30 \mathrm{~ms}^{-1}\) Radius, \(r=500 \mathrm{~m}\) Linear acceleration, \(a_T=2 \mathrm{~ms}^{-2}\) Let acceleration be \(a\) \[ \because \quad a=\sqrt{a_T^2+a_r^2} \] As, \(a_r=\frac{u^2}{r}=\frac{(30)^2}{500}\)…
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