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Q. No.A curve in a level road has a radius of \(75\) m. The maximum speed of a car turning this curved road can be \(30\) m/s without skidding. If the radius of the curved road is changed to \(48\) m and the coefficient of friction between the tyres and the road remains the same, then the maximum allowed speed would be:
1. \(12\) m/s
2. \(24\) m/s
3. \(32\) m/s
4. \(44\) m/s
1. \(12\) m/s
2. \(24\) m/s
3. \(32\) m/s
4. \(44\) m/s
Subtopic: Banking of Roads |
86%
From NCERT
JEE
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A car is moving on a circular track of radius \(50~\text{cm}\) with coefficient of friction being \(0.34.\) On this horizontal track, the maximum safe speed for turning is equal to:
(take \(g=10~\text{m/s}^2\) )
1. \(1.03~\text{m/s}\)
2. \(1.7~\text{m/s}\)
3. \(1.3~\text{m/s}\)
4. \(1.8~\text{m/s}\)
(take \(g=10~\text{m/s}^2\) )
1. \(1.03~\text{m/s}\)
2. \(1.7~\text{m/s}\)
3. \(1.3~\text{m/s}\)
4. \(1.8~\text{m/s}\)
Subtopic: Banking of Roads |
59%
From NCERT
JEE
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A car with a mass of \(200\) kg is moving along a circular track with a radius of \(70\) m at an angular velocity of \(0.2\) rad/s. What is the magnitude of the centripetal force acting on the car?
1. \(560\) N
2. \(400\) N
3. \(360\) N
4. \(200\) N
1. \(560\) N
2. \(400\) N
3. \(360\) N
4. \(200\) N
Subtopic: Banking of Roads |
91%
From NCERT
JEE
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What should be the elevation of the outer track of the train to move in a circular path of radius \(R,\) width of the track is \(w\) \( (w< < R)\) and speed of the train is \(v ?\) (Neglect friction)
1. \(\frac{v^2 w}{R g}\)
2. \(\frac{v^2 w}{2R g}\)
3. \(\frac{gw v^2}{R}\)
4. \(\frac{R}{g w v^2}\)
1. \(\frac{v^2 w}{R g}\)
2. \(\frac{v^2 w}{2R g}\)
3. \(\frac{gw v^2}{R}\)
4. \(\frac{R}{g w v^2}\)
Subtopic: Banking of Roads |
From NCERT
JEE
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A car of \(800\) kg is taking turn on a banked road of radius \(300\) m and angle of banking \( 30°\). If coefficient of static friction is \(0.2\) then the maximum speed with which car can negotiate the turn safely : (\(g=10 \mathrm{~m} / \mathrm{s}^2, \sqrt{3}=1.73\))
1. \(51.4\) m/s
2. \(102.8\) m/s
3. \(70.4\) m/s
4. \(264\) m/s
Subtopic: Banking of Roads |
JEE
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