Physics Question?

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1 Answer
Mar 13, 2018

#T=4.1# #"m"#

Explanation:

We can simplify this problem to a pendulum, of length #3.8# #"m"#, swinging back and forth.

By doing this, the formula #T = 2 pi sqrt(L/g)# can be applied; where #T# is the period, #L# is the length, and #g# is acceleration due to gravity.

Then, the period #T=2 pi# #sqrt(frac(3.8 " m")(9.80665 " m" cdot "s"^(-2)))#

#" " " " " " " " " Rightarrow T= 4.0677273336# #"m"#

#" " " " " " " " " therefore T approx 4.1# #"m"#

Therefore, the period of this swing would be around #4.1# #"m"#.