Name the physical quantity which the rotational analogue of force and give its S.I. unit.Obtain a relation of this quantiy ith the angular momentum.
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Rotational analogue of force is TORQUE...
SI unit - Nm
RELATION BETWEEN TORQUE AND ANGULAR MOMENTUM :
Angular momentum, L = Iω
where I = moment of inertia
and ω= angular velocity
Differenting above eqn with respect to time:
dL/dt = I*dω/dt
dL/dt = I*(alpha)
where alpha is the angular acceleration...
but I*(alpha) = torque...
....therefore, torque =dL/dt
which is change in angular velocity....
CHANGE IN ANGULAR MOMENTUM=TORQUE
.. .. ..
SI unit - Nm
RELATION BETWEEN TORQUE AND ANGULAR MOMENTUM :
Angular momentum, L = Iω
where I = moment of inertia
and ω= angular velocity
Differenting above eqn with respect to time:
dL/dt = I*dω/dt
dL/dt = I*(alpha)
where alpha is the angular acceleration...
but I*(alpha) = torque...
....therefore, torque =dL/dt
which is change in angular velocity....
CHANGE IN ANGULAR MOMENTUM=TORQUE
.. .. ..
Answered by
3
Answer:
The physical quantity which is the rotational analogue of force is Torque..
It's SI unit is Newton metre (N m)....
Relation between angular momentum and torque is same as between the linear momentum and force.
As Force F = dp/dt
Where p = linear momentum
t = time
Same is for the angular momentum and torque
T = dL/dt
Where T = torque
L = angular momentum
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