A particle moves in a circle of radius 2 m and completes 5 revolutions in 10 seconds. Calculate its angular velocity and linear velocity. [3 MARKS]

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Solution

Angular velocity : 1.5 Marks
Linear velocity : 1.5 Marks

Since, it completes 5 revolutions in 10 s, for 1 revolution it requires 2 s.
Time period = 2 s

$(i) N o w a n g u l a r v e l o c i t y = \frac{2 π}{T} = \frac{2 π}{2} = π r a d / s$

$(i i) L i n e a r v e l o c i t y i s g i v e n b y v = \frac{2 π R}{T} = 2 π m / s$

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