TS EAMCET · Physics · Laws of Motion
A circular freeway entrance and exit are commonly banked to control a moving car at \(14 \mathrm{~m} / \mathrm{s}\). To design similar ramp for \(28 \mathrm{~m} / \mathrm{s}\) one should
- A increase the radius by factor 2
- B increase the radius by factor 4
- C decrease the radius by factor 4
- D decrease the radius by factor 2
Answer & Solution
Correct Answer
(B) increase the radius by factor 4
Step-by-step Solution
Detailed explanation
Given, \(v_1=14 \mathrm{~m} / \mathrm{s}\) and \(v_2=28 \mathrm{~m} / \mathrm{s}\) As we know that, \(\tan \theta=\frac{v^2}{r g} \Rightarrow r=\frac{v^2}{g \tan \theta}\) In the first case, \(r_1=\frac{v_1^2}{g \tan \theta}=\frac{(14)^2}{g \tan \theta}\) \(\ldots\) (i) In the…
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