Question

©

w
0.02m.
Calculate the linear and angular velocity of the tip of a second switch of length
(Ans. 0.002 ms', 0.01 rads']​

Answer 1

ω = 0.1 rad/s

v = 0.002 m/s

Step-by-step explanation:

The angular velcoity of the second hand of the clock can be found by:

ω = θ/t

where,

ω = Angular Speed

θ = Angular Displacement

t = time taken

Now, for one complete revolution of second hand of the clock:

θ = 2π rad

t = 60 s

Therefore,

ω = 2π rad/60 s

ω = 0.1 rad/s

Now, for the linear speed (V):

V = rω

where,

V = Linear Speed of Second Hand = ?

r = radius = length of second hand = 0.02 m

Therefore,

V = (0.02 m)(0.1 rad/s)

V = 0.002 m/s