Question

An astronaut on the Venus attaches a small brass ball to a 1.00-m length of string and makes a simple pendulum. She times 20 complete swings in a time of 42.1 seconds. From this measurement she calculates the acceleration due to gravity on the Venus.

Express your answer to two significant figures and include the appropriate units.

Answer 1

The acceleration due to gravity on Venus is 0.6 m/s².

Step-by-step explanation:

To calculate the acceleration due to gravity on Venus, we can use the formula for the period of a simple pendulum:

T = 2π√(L/g)

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

Given that the period is 42.1 seconds and the length is 1.00 meter,To calculate the acceleration due to gravity on Venus, we can use the formula for the period of a simple pendulum: we can rearrange the formula to solve for g:

g = (4π²L)/T²

Plugging in the values, we get:

g = (4π²*1.00)/(42.1)² = 0.6 m/s²

Therefore, the acceleration due to gravity on Venus is 0.6 m/s².

Answer 2

8.91
`(m)/(sec^(2) )`

Step-by-step explanation:

Given

• length of pendulum=1m
• it takes 42.1 secs to complete 20 swings,⇒1 swing takes, T
  `=(42.1)/(20)=2.105sec`

We know the formula

`g=4*(pie)^(2)* (L)/(T^(2) )`

Where

• g is the gravitational force experienced by the pendulum
• T is the time period for on oscillation
• L length of pendulum

`g=4*(pie)^(2) * (L)/(T^(2))`

`g= 39.47842* (1)/(2.105^(2) )`

`g=8.91 (m)/(sec^(2) )sec`