are swing basis 72 CM above the ground when it travels through an angle of 60 degree from its mean position sewing base becomes 252 CM above the ground what is the length of the earth travel by the sewing in metres
Answers
Given : A swing base is 72 cm above the ground as shown in figure. When it travels through an angle of 60∘ from its mean position, swing base comes at 252 cm above the ground.
To Find : length of the arc travelled by the swing in meters
Solution:
Let say Radius of Swing = R
Vertical Distance of center initially from ground = R + 72 cm
Vertical Distance of center after travelling 60° from swing base
RCos60° = R/2
Vertical Distance of center from ground = 252 + R/2
R + 72 = 252 + R/2
=> R/2 = 180
=> R = 360
Distance travelled in arc = (60/360)2πR
= (60/360)2π360
= 120π
= 377 cm
100 cm = 1m
= 3.77 m
length of the arc travelled by the swing in meters = 3.77
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