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The radius of a body moving in a circle with constant angular velocity is given by r = 4t2, with respect to time. What is the magnitude of the tangential velocity at t = 2s, if the angular velocity is 7 rad/s?
  • a)
    112
  • b)
    113
  • c)
    56
  • d)
    28
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The radius of a body moving in a circle with constant angular velocity...
Given, r = 4t², and angular velocity, ω = 7 rad/s

We know that tangential velocity, v = rω

At t = 2s, r = 4(2)² = 16m

Substituting the given values, v = 16 × 7 = 112 m/s

Therefore, the magnitude of the tangential velocity at t = 2s is 112 m/s.
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Community Answer
The radius of a body moving in a circle with constant angular velocity...
The tangential velocity is given as v = ωr. At t = 2s, r = 16 units. The angular velocity is 7 rad/s. Hence, the tangential velocity, v = 7 x 16 = 112 units/s.
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