A particle moves in a circle of radius 30 𝑐𝑚. Its linear speed is given by 𝑣 = 2𝑡 where 𝑡 in second and 𝑣 in 𝑚/𝑠. Find out its radial and tangential acceleration at 𝑡 = 3 𝑠𝑒𝑐 respectively

Question; A particle moves in a circle of radius 30 𝑐𝑚. Its linear speed is given by 𝑣 = 2𝑡 where 𝑡 in second and 𝑣 in 𝑚/𝑠. Find out its radial and tangential acceleration at 𝑡 = 3 𝑠𝑒𝑐 respectively

(A) \begin{aligned}220m/\sec ^{2},\ 50m/\sec ^{2}\end{aligned}

(B) \begin{aligned}100m/\sec ^{2},\ 5m/\sec ^{2}\end{aligned}

(C) \begin{aligned}120m/\sec ^{2},\ 2m/\sec ^{2}\end{aligned}

(D) \begin{aligned}110m/\sec ^{2},\ 10m/\sec ^{2}\end{aligned}

Answer: option (C)

Solution:

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