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A person is making homemade ice cream. She exerts a force of magnitude 22 N on the free end of the crank handle on the ice-cream maker, and this end moves on a circular path of radius 0.28 m. The force is always applied parallel to the motion of the handle. If the handle is turned once every 1.3 s, what is the average power being expended

Respuesta :

Answer:

The power is 29.76 J.

Explanation:

Given that,

Force = 22 N

Radius = 0.28 m

Time = 1.3 s

The force is always applied parallel to the motion of the handle.

So, angle is 0°.

We need to calculate the work done

Using formula of work done

[tex]W= Fd\cos\theta[/tex]

Where, F = force

d = distance

Put the value into the formula

[tex]W=22\times2\pi\times0.28\times\cos0^{\circ}[/tex]

[tex]W=22\times2\pi\times0.28[/tex]

[tex]W=38.70\ J[/tex]

We need to calculate the power

Using formula of power

[tex]P=\dfrac{38.70}{1.3}[/tex]

[tex]P=29.76\ J[/tex]

Hence, The power is 29.76 J.

ajeigbeibraheem

The average power being expended is 29.77 Watts

What is work done on a force in a circular path?

The work done on a body on a circular path is usually zero and it is the product of force multiplied by the distance and the angle.

Mathematically;

Work done (W) = Fd Cos θ

Work done (W) = 22N × 2π × 0.28 m × Cos 0

Work done (W) =  22N × 2π × 0.28 m × 1

Workdone (W) = 38.70 N/m

Workdone (W) =38.70 Joules

The average power being expanded can be computed by using the formula:

Power = Workdone / Time

Average Power = 38.70 J/1.3 s

Average Power = 29.77 J/s

Average Power = 29.77 Watts

Learn more about work done here:

https://brainly.com/question/9821607

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