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Answer :
Final answer:
The Physics concept explored in this question involves the calculation of tangential velocity in an instance of rotational motion. Using the given figures for angular acceleration and the angle of rotation, we can calculate the tangential velocity to be approximately 15 m/s.
Explanation:
The subject of this question involves concepts from Physics, with a specific focus on rotational motion and the calculation of tangential velocity. Tangential velocity can be calculated using the following formula from rotational motion physics:
v = sqrt(u2 + 2as)
Where u is the initial velocity, a is the angular acceleration, and s is the angle through which the object has rotated. In this case, the bead started from rest, so u = 0. Given a = 2.99 rad/s2 and s = 37.6 rad, we substitute these values into the equation:
v = sqrt(02 + 2*2.99*37.6)
v = sqrt(225.048) m/s
The answer is slightly simplified because the problem statement mentions that the bead starts from rest and therefore the initial velocity is zero. The tangential velocity of the bead is approximately 15 m/s.
Learn more about Tangential Velocity here:
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