If the moment of force M = 100 N m turned a rotating body at an angle φ = 7200 at a constant speed
| August 17, 2021 | education
If the moment of force M = 100 N m turned a rotating body at an angle φ = 7200 at a constant speed during t = 6.28 s, then the power it develops will be equal to …
M = 100 N * m.
φ = 7200 °.
t = 6.28 s.
N -?
Power N is called a scalar physical quantity equal to the ratio of mechanical work A to the time of its completion t: N = A / t.
When rotating, the mechanical work A is expressed by the formula: A = M * φ, where M is the moment of force, φ is the angle through which the body rotates under the action of the moment of force, expressed in radians.
The formula for determining the power will take the form: N = M * φ / t.
φ = 2 * P * 7200 ° / 360 ° = 125.6 rad.
N = 100 N * m * 125.6 rad / 6.28 s = 2000 W.
Answer: the rotating power is N = 2000 W.
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