Answer :
Answer:
So length of pendulum is 143.129 m
Explanation:
We have given period of simple pendulum is 2 sec
We have to find the length of simple pendulum
Let the length of pendulum is l
Acceleration due to gravity[tex]g=9.8m/sec^2[/tex] is
Time period is given by [tex]T=2\pi \sqrt{\frac{l}{g}}[/tex]
So [tex]24=2\times 3.14\times \sqrt{\frac{l}{9.8}}[/tex]
[tex]\sqrt{\frac{l}{9.8}}=3.821[/tex]
Squaring both side
[tex]{\frac{l}{9.8}}=14.60[/tex]
l =143.129 m
So length of pendulum is 143.129 m
Answer:
143 m.
Explanation:
We have to use the equation for the period of a simple pendulum, and solve for length of pendulum.
[tex]T=2\pi\sqrt{\frac{l}{g} }[/tex]
Here l length of pendulum which is equal to height of tower because it touches the almost the floor and g is acceleration due to gravity.
Given [tex]T=24s, g=9.8m/s^2[/tex].
Substitute the given values, we get
[tex]24s=2\pi\sqrt{\frac{l}{9.8m/s^2} }[/tex]
[tex](\frac{24s}{2\pi})^2\times9.8m/s^2 =l[/tex]
[tex]l=143m[/tex]
Thus, the height of tower is 143 m.