A swing base is 72 above the
ground as shown in figure. When it travels through an angle of 60° from its mean position, swing base comes at 252cm above the ground. What is the length of the of the arc travelled by the swing in meters?
Answers
Answer:
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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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