Find the angle in radian though which a pendulum swings if its length is 75 cm and the tip describes an arc of length (i) 10 cm (ii) 15 cm (iii) 21 cm
(a)
The length of the pendulum is 75 cm .It acts as the radius of the swing area.
The arc length is 10 cm
The angle of swing is
Angle = Arc length Radius of the arc = 10 75 = 2 15 radian
Thus, the angle of the swing is 2 15 radian .
(b)
The length of the pendulum is 75 cm .It acts as the radius of the swing area.
The arc length is 15 cm
The angle of swing is
Angle = Arc length Radius of the arc = 15 75 = 1 5 = 0 .2 radian
Thus, the angle of the swing is 0.2 radian .
(c)
The length of the pendulum is 75 cm .It acts as the radius of the swing area.
The arc length is 21 cm .
The angle of swing is
Angle = Arc length Radius of the arc = 21 75 = 7 25 radians
Thus, the angle of the swing is 7 25 radian .
(a)
The length of the pendulum is
The arc length is
The angle of swing is
Thus, the angle of the swing is
(b)
The length of the pendulum is
The arc length is
The angle of swing is
Thus, the angle of the swing is
(c)
The length of the pendulum is
The arc length is
The angle of swing is
Thus, the angle of the swing is
