a solid cylinder of mass 30 kgs is rotating in a horizontal Axis with the help of a massless string the string is want round the cylinder with one end attached and the other end is it if the radius of the cylinder is 0.3 calculate the tension in the string required to produce an angular acceleration of three RPS inverse 2
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The tension in the string is 56 N.
Explanation:
Given data:
- Mass of the cylinder = 30 kg
- Radius of the cylinder = 0.3 m
To Find:
Tension in the string "T" = ?
Solution:
The tension will be calculated as -
T × R = MR^2 / 2 x α
T = MR / 2 x α
T = 30 x 0.3/2 x ( 2 x 2π)
T = 4.5 x 2 x 2π)
T = 56 N
Thus the tension in the string is 56 N.
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