An engineer has designed a road with a curve of radius $12 m$ . The material of the road offers a maximum coefficient of friction of $0.3$ . What should be the maximum permissible speed limit on this road?

7 m/s

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8 m/s

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6 m/s

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5 m/s

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Solution

The correct option is C $6 m/s$
The velocity can be increased upto the limit where the friction provides the necessary centripetal force.
i.e $\frac{m v^{2}}{r} = f \leq μ m g$
$\Rightarrow v \leq \sqrt{μ r g} = \sqrt{0.3 \times 12 \times 10}$
$\Rightarrow v \leq 6 m/s$
or $v_{m a x} = 6 m/s$

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An engineer has designed a road with a curve of radius 12 m. The material of the road offers a maximum coefficient of friction of 0.3. What should be the maximum permissible speed limit on this road?

The correct option is C 6 m/sThe velocity can be increased upto the limit where the friction provides the necessary centripetal force. i.emv2r=f≤μmg ⇒v≤√μrg=√0.3×12×10 ⇒v≤6 m/s or vmax=6 m/s

An engineer has designed a road with a curve of radius $12 m$ . The material of the road offers a maximum coefficient of friction of $0.3$ . What should be the maximum permissible speed limit on this road?

The correct option is C $6 m/s$
The velocity can be increased upto the limit where the friction provides the necessary centripetal force.
i.e $\frac{m v^{2}}{r} = f \leq μ m g$
$\Rightarrow v \leq \sqrt{μ r g} = \sqrt{0.3 \times 12 \times 10}$
$\Rightarrow v \leq 6 m/s$
or $v_{m a x} = 6 m/s$