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aalyn [17]
4 years ago
12

4-What determines the length of a planet's day? *

Physics
1 answer:
shusha [124]4 years ago
7 0

Answer:

Axis rotation to determine the length of a day

Explanation:

The length of time it takes a planet to complete one full rotation on it's axis is what we would measure as being one day. On Earth, it takes slightly less than 24 hours to rotate on its axis and this is one day.

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Find the distance traveled in one back-and-forth swing by the weight of a 12 in. Pendulum that swings through a 75 degree angle.
tia_tia [17]

The distance traveled by pendulum, in one back-and-forth swing is 75.75 inches.

The period of pendulum can be calculated by

T = 2\pi \sqrt {\dfrac Lg}

Where,

T - period

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g- gravitational acceleration  = \bold {9.8\rm \ m/s^2}

Put the values,

T = 2\pi \sqrt {\dfrac {12}{9.8}}\\\\T = 2 \times 3.14 \times \sqrt {0.122}\\\\T = 2.191

Now, the angular displacement of the pendulum can be calculated by,

\theta = A\times\rm \  cos(\omega T)

Where,

A- amplitude

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Put the values and calculate for \omega,

75 = A\times{\rm \  cos}(2.866\times 2.191)\\\\75 =A \times cos\ 6.26\\\\A =\dfrac {75}{0.99}\\\\A = 75.75 \rm \ inches

Therefore, the distance traveled by pendulum, in one back-and-forth swing is 75.75 inches.

To know more about Amplitude of pendulum,

brainly.com/question/14840171

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