A pendulum is constructed by attaching a 4m rope to a bowling ball. It is then displaced 2m to one side and released. Ignoring all effects of friction, and without knots,
a) Determine the period of the pendulum. Round to one decimal place.

T = 4.0 s

Step-by-step explanation:

The period of a simple pendulum is given by

where l = length of the pendulum

= 4 m

g = acceleration due to gravity

= 9.8 m/s^2

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm