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Standard XII

Physics

Motional EMF

If a cycle mo...

Question

If a cycle moves in a circle of radius $10 m$ , moving with a speed of $5 m / s$ and making an angle of $76^{o}$ with the horizontal. Find $g$ at that place.

10 m / s^{2}

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5 m / s^{2}

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15 m / s^{2}

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20 m / s^{2}

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Solution

The correct option is A $10 m / s^{2}$
We know that the angle through which the aeroplane should bend is given by $θ = t a n^{- 1} (\frac{v^{2}}{R g})$
Substituting the given values we get $14^{o} = t a n^{- 1} (\frac{5^{2}}{10 \times g})$
$\Rightarrow$ $0.25 = \frac{25}{10 g}$
$\Rightarrow$ $g = 10 m / s^{2}$

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If a cycle moves in a circle of radius 10m, moving with a speed of 5m/s and making an angle of 76o with the horizontal. Find g at that place.

The correct option is A 10 m/s2We know that the angle through which the aeroplane should bend is given by θ = tan−1(v2Rg)Substituting the given values we get 14o = tan−1(5210×g)⇒ 0.25= 2510g⇒ g = 10 m/s2

If a cycle moves in a circle of radius $10 m$ , moving with a speed of $5 m / s$ and making an angle of $76^{o}$ with the horizontal. Find $g$ at that place.