- A Body Starts from Rest and Moves with an Acceleration of 10 Rad s-2 in a Circle of Radius 5m. Find the Linear Speed of the Body After 6 s.
- Ans:
- Acceleration a = 10 rad s-2
- Radius r =5 m
- Time t = 6 s
- The angular velocity is given by
- ω = ω0 + at
- = 0 + 10(6)
- = 60 rads-1
- The linear speed is given by
- v = r ω
- = 5 m × 60 rad s-1
- v= 300 m/s.
- Hence, the linear speed of the given body is 300m/s. That means if the centripetal force on the body is removed, the body will continue to move in a tangential direction.
- Find the Linear Speed of a Body Moving at 30 rpm in a Circular Path Having a Radius of 5 m?
- Ans:
- Given
- Angular velocity = 30 rpm
- = 30
- π30�30
- = 1 rad/s
- Radius r = 2 m
- The linear speed is given by
- v = r ω
- v = 2 m × 1 rad/s
- v = 2 m/s
- A yoyo is Rotated by a Boy in a Radius of 5m. If the Linear or Tangential Speed of the yoyo is 6 m/s, Find the Angular Speed of the yoyo.
- Ans:
- Given
- R= 5m
- V=6m/s
- The formula for Linear Speed
- v = r ω
- ω=
- vr��
- ω=
- 6565
- ω= 1.2
Leave a Reply