Question

Suppose the torque acting on a body is given by
t = K L + (M I / omega), where L = angular momentum, I=
moment of inertia and omega= angular speed. The
dimensional formula for K
M is same as that for
(a) time - 4
(b) time -2
(c) time2
(d) time4

​

Answer 1

Answer:

τ=KL+

W

MI

τ=M

1

L

2

T

−2

=KL=KM

1

L

2

T

−1

⇒K=T

−1

⇒

W

MI

=M

1

L

2

T

−2

⇒

T

−1

M(M

1

L

2

)

=M

1

L

2

T

−2

⇒M=T

−3

So,KM=T

−4