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deff fn [24]
3 years ago
9

A ball at the end of a string of 2.2m length rotates at

Physics
2 answers:
Sergio039 [100]3 years ago
4 0

Answer:

The frequency of motion is 5.8 Hz.

Explanation:

frequency of motion of any object is defined as the number of times the object repeats it's motion in 1 second.

mathematically frequency equals f=\frac{1}{T}

where,

'T' is the time it takes for the object to complete one revolution. Since it is given that the ball completes 5.8 revolutions in 1 seconds thus the time it takes for 1 revolution equals \frac{1}{5.8}s

HenceT=\frac{1}{5.8}s

thus the frequency equals

\frac{1}{\frac{1}{5.8}}s^{-1}\\\\f=5.8s^{-1}=5.8Hz

Sunny_sXe [5.5K]3 years ago
3 0

Answer:

5.8 Hz.

Explanation:

<u>Given:</u>

  • The length of the string to which the ball is attached, L = 2.2 m.
  • The number of revolutions, the ball is making in unit time = 5.8 rev/s.

The frequency of the motion of a rotating object is defined the total number of revolutions the object makes in unit time. It is measured in units of Hertz (Hz) or per second.

It is given that the ball is making 5.8 revolutions in one second, therefore, its frequency of motion would be the same, i.e., 5.8 Hz.

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Explanation:

Gravitational potential energy is the energy an object possesses due to its position. It is calculated using the following formula:

E_P=mgh

Where <em>m</em> is the mass, <em>g</em> is the acceleration due to gravity, and <em>h</em> is the height.

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Let's convert the units of Joules. This makes the process of canceling units simpler later on. 1 Joule is equal to 1 kilogram meter squared per second squared. The object gains 446 J, which is equal to 446 kg *m²/s².

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Substitute the values into the formula.

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Multiply on the right side of the equation.

446 \ kg*m^2/s^2 = 85.456 kg*m/s^2 *h

We are solving for the height, so we must isolate the variable h. It is being multiplied by 85.456 kg*m/s². The inverse operation of multiplication is division, so we divide both sides by this value.

\frac{ 446 \ kg*m^2/s^2}{85.456 kg*m/s^2} = \frac{85.456 kg*m/s^2 *h}{85.456 kg*m/s^2}

\frac{ 446 \ kg*m^2/s^2}{85.456 kg*m/s^2} =h

The units of kg*m/s² cancel, leaving meters as our unit.

\frac{ 446 }{85.456 }  \ m =h

5.2190601011 \ m =h

The original measurements of mass and potential energy have 3 significant figures, so our answer must have the same.

For the number we calculated, that is the hundredths place. The 9 in the thousandths place to the right tells us to round the 1 up to a 2.

5.22 \ m \approx h

The object was lifted to a height of approximately <u>5.22 meters.</u>

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