Question

a simple pendulum is made of a massless string to which a bob of mass 2.9 kg is attached. the length of the pendulum is 97 cm. the pendulum is taken inside an elevator, that is accelerating downwards at 1.4 m/s². calculate the time period of the pendulum.

Answer 1

The time period of the pendulum is 2.14 seconds.

Step-by-step explanation:

The time period of a simple pendulum can be calculated using the formula:

T = 2π√(L/g)

where T is the time period, L is the length of the pendulum, and g is the acceleration due to gravity.

In this case, the length of the pendulum is 97 cm, which is equivalent to 0.97 m. The acceleration due to gravity at the Earth's surface is approximately 9.8 m/s².

Since the pendulum is taken inside an elevator accelerating downwards at 1.4 m/s², the effective acceleration due to gravity becomes 9.8 m/s² - 1.4 m/s² = 8.4 m/s².

Plugging in these values into the formula:

T = 2π√(0.97 / 8.4) = 2π√(0.1155) = 2π * 0.34 = 2.14 seconds.