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andrey2020 [161]
3 years ago
13

A spiral staircase winds up to the top of a tower in an old castle. To measure the height of the tower, a rope is attached to th

e top of the tower and hung down the center of the staircase. However, nothing is available with which to measure the length of the rope. Therefore, at the bottom of the rope a small object is attached so as to form a simple pendulum that just clears the floor. The period of the pendulum is measured to be 5.94 s. What is the height of the tower?
Physics
1 answer:
boyakko [2]3 years ago
8 0

Answer:

8.76762 m

Explanation:

T = Time period = 5.94 seconds

g = Acceleration due to gravity = 9.81 m/s²

L = Length of pendulum = Height of tower

Time period is given by

T=2\pi \sqrt{\dfrac{L}{g}}\\\Rightarrow T^2=4\pi^2\dfrac{L}{g}\\\Rightarrow L=\dfrac{T^2g}{4\pi^2}\\\Rightarrow L=\dfrac{5.94^2\times 9.81}{4\pi^2}\\\Rightarrow L=8.76762\ m

The height of the tower is 8.76762 m

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\\ \rm\Rrightarrow \dfrac{1}{u}+\dfrac{1}{v}=\dfrac{1}{f}

\\ \rm\Rrightarrow \dfrac{1}{u}=\dfrac{1}{-10}+\dfrac{1}{38}

\\ \rm\Rrightarrow \dfrac{1}{u}=\dfrac{-19+5}{190}

\\ \rm\Rrightarrow \dfrac{1}{u}=\dfrac{-14}{190}

\\ \rm\Rrightarrow u=\dfrac{190}{-14}

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2 years ago
How to calculate the number of protons and neutrons in elements
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2 years ago
A 2400W electric toaster is connected to a standard 120 V wall outlet. A family
jolli1 [7]

Answer:

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Explanation:

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using rounding to a decimal

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2 years ago
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r-ruslan [8.4K]

Answer:

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Explanation:

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3 years ago
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3 years ago
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