Calculate the angular velocity and linear velocity of a tip of minute hand of length 10 cm.
Solution
Given
–
Radius
of tip of minute hand = r = 0 cm = 0.1 m
As
minute hand takes one hour to complete one rotation (i.e. 360o or
2 π radian)
The
time period of the tip of minute hand can be given as
= T
= 1hr
= 60 min = 3600 sec
The
angular velocity of any particle performing circular motion can be given as
time rate of change of angular displacement
W
= (dθ)/ (dt)
W=
(2 π) / T
W=
(2 X 3.14 ) / 3600
W= 1.745 X 10 -3 rad / sec
The
linear velocity (v) at the tip of minute hand is
V
= r X w
V
= 0.1 X 1.745 X 10 -3
V = 1.745 X 10 -4 m/s
Hi. I’m Designer of Blog Magic. I’m CEO/Founder of ThemeXpose. I’m Creative Art Director, Web Designer, UI/UX Designer, Interaction Designer, Industrial Designer, Web Developer, Business Enthusiast, StartUp Enthusiast, Speaker, Writer and Photographer. Inspired to make things looks better.
0 comments:
Post a Comment