Answer:
a).[tex]v=83.77x10^{-3} rad/s[/tex]
b).[tex]v=0.8[/tex]rpm
c).v=0.5865 m/sec.
Explanation:
Given:
[tex]r=8m[/tex]
[tex]v=\frac{2rev}{2.5minutes}[/tex]
a).
[tex]2 rev*\frac{2\pirad}{1rev}=4\pi rad[/tex]
[tex]t=2.5minutes*\frac{60s}{1minute}=150s[/tex]
The angular speed in radians per seconds is
[tex]v=\frac{4\pi}{150s}=83.77x10^{-3} rad/s[/tex]
b).
[tex]v=\frac{2rev}{2.5minute}rpm[/tex]
[tex]v=0.8[/tex]rpm
c)
Child's distance per revolution
(pi*2r) = 43.988 metres.
v=(43.988 x 0.0133333) = 0.5865 m/sec.
