Question

Radicals PLEASE HELP will mark brainliest! You are considering installing a pendulum in the amusement park visitor’s center. The time it takes a pendulum to complete a full cycle or swing depends upon the length of the pendulum. The formula is given by T = 2 π √(L/32) where T represents the time in seconds and L represents the length of the pendulum in feet. If the pendulum is 8 feet long, how long will it take for the pendulum to complete a full cycle?

Answer 1

Answer: 31.42 seconds

Step-by-step explanation:

Given that:

Time taken (T) for a pendulum to complete a full swing or cycle is represented by the equation:

T = 2 π √(L/32)

T = time taken to complete a full swing in Seconds

L = Length of the pendulum measured in feet

If length (L) of the pendulum = 8 feet

Time taken (T) =?

Inputting our values :

T = 2 π √(8/32)

T = 2 π √(1/4)

T = 2 π 0.5

T = 10 π

T = 10 × 3.142 = 31.42seconds