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A body rotating at an angular velocity of 5 radians/sec, with a radius of 5 metres has a speed of

  • 5pi metres per second.
  • 5 metres per second.
  • 25 metres per second.

Explanation from PART66Online

The linear (tangential) speed of a rotating point is v = omega x r = 5 rad/s x 5 m = 25 m/s. The 5 m/s answer ignores the radius, and the 5pi option wrongly introduces pi, which is not part of the v = omega r relationship.

B

bennguli asked · 9 Apr 2017

please i need eplanation with formular

Community Comments (3)

A
arcana_force 2 Mar 2018
Correct me if Im wrong.
Linear velocity = angular velocity*radius of rotation.(meters/second)
v=ω*r. v=5*5, v=25.
M
Matas24 4 Mar 2018
how can you multiply radians/s and meters to get m/s?
C
ChantalDimmer 29 Mar 2018
rad/s are the same as 1/s.
So imagine v= w*r.
v = 1/s * m
v = m/s

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