Diameter of a wheel is 6 m. The linear speed of a point on its rim is 33 $m s^{- 1}$ . Then its angular velocity in rpm.

100

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102

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104

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105

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Solution

The correct option is D
105

Radius of the wheel (R)=3m
Linear speed of the rim = V = Rw
$\Rightarrow w = \frac{v}{r} = \frac{33}{3} = 11 \frac{r a d}{s} = 105 \frac{r e v}{m i n}$

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