If the equation for the displacement of a particle moving on a circular path is given by (𝜃) =2𝑡 3 + 0.5, where 𝜃 is in radians and 𝑡 in seconds, then the angular velocity of the particle after 2 𝑠𝑒𝑐 from its start is

Question : If the equation for the displacement of a particle moving on a circular path is given by (𝜃) =2𝑡 3 + 0.5, where 𝜃 is in radians and 𝑡 in seconds, then the angular velocity of the particle after 2 𝑠𝑒𝑐 from its start is

(A) 8 𝑟𝑎𝑑/𝑠𝑒𝑐

(B) 12 𝑟𝑎𝑑/𝑠𝑒𝑐

(C) 24 𝑟𝑎𝑑/𝑠𝑒𝑐

(D) 36 𝑟𝑎𝑑/𝑠𝑒c

Answer : option (C)

Solution :

If the equation for the displacement of a particle moving on a circular path is given by (𝜃) =2𝑡 3 + 0.5, where 𝜃 is in radians and 𝑡 in seconds, then the angular velocity of the particle after 2 𝑠𝑒𝑐 from its start is
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