Question

what is angular displacement in radian of a second hand of a clock in 10 second ?

Answer 1

Angular displacement is the angle through which a rotating body passes. For example, if a skater skates around the center of the rink and stops at the same place, his or her angular shift would be 360 degrees. Rotation direction is important.If the skater circles in the opposite direction, this is a positive 360 degree displacement. However, if the skater circles in the clockwise direction it is a negative displacement of 360 degrees.Therefore, if a skater switched directions and skated half a circle counter in the clockwise direction, turned around and skated back in the clockwise direction, he displaced positive 180 degrees and negative 180 degrees for zero.

Angular velocity  =  angular displacement  / time

The hand rotates  2π  radians  in 10 seconds, so

Angular velocity  =  2π  radians / 10s

Angular velocity  =  0.628 radians  / s

I hope this helps,

Zunnaira

Answer 2

Hii friend,

# Answer- 1.05 rad or 60°

# Given-
t=10s

# Formula-

The second hand completes one cycle in 1 min.
Hence period T=60s

Angular velocity = 2π / period
Angular velocity = 2π/60

Angular displacement is given by,
Angular displacement = angular velocity × time
Angular displacement = 2π/60 × 10
Angular displacement = π/3
Angular displacement = 1.05 radian
Angular displacement = 60°

Angular displacement of second hand in 10s is 1.05 rad.

Thanks for asking...