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A wheel of radius 50 cm is rolled through a quarter turn. Calculate (i) The angle rotated in radians (ii) The distance moved...

A wheel of radius 50 cm is rolled through a quarter turn. Calculate (i) The angle rotated in radians (ii) The distance moved by a point on the circumference.

Answers

(i) A quarter turn = 360^o / 4= 90^o. Since 360^o = 2 ${\pi}$ radians.
Alternately since 1 radian = 57.3^o hence 90^o = 1.57 radii.
(ii) A point on the circumference moves through an arc, Arc = radius × ${\theta}$ (${\theta}$ in radians) = 50 cm × 1.57 = 78.5 cm.

Mutiso answered the question on October 16, 2018 at 05:36

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