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A person is making homemade ice cream. She exerts a force of magnitude 29 N on the free end of the crank handle on the ice-cream maker, and
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A person is making homemade ice cream. She exerts a force of magnitude 29 N on the free end of the crank handle on the ice-cream maker, and this end moves on a circular path of radius 0.27 m. The force is always applied parallel to the motion of the handle. If the handle is turned once every 1.9 s, what is the average power being expended
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Physics
1 year
2021-08-22T00:25:19+00:00
2021-08-22T00:25:19+00:00 2 Answers
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Answer:
Explanation:
force, F = 29 N
radius, r = 0.27 m
time period, T = 1.9 s
Distance = 2 x π x r = 2 x 3.14 x 0.27 = 1.696 m
velocity, v = distance / time = 1.696 / 1.9 = 0.892 m/s
Power, P = F x v
P = 29 x 0.892
P = 25.88 Watt
Answer:
The average power is 15.26 W.
Explanation:
Given that,
Force = 29 N
Radius = 0.27 m
Time = 1.9 s
We need to calculate the power
Using formula of power
[tex]P=\dfrac{W}{t}[/tex]
[tex]P=\dfrac{F\cos\theta \times s}{t}[/tex]
[tex]P=\dfrac{F\cos\theta\times 2\pi r}{t}[/tex]
Here, [tex]\theta=0^{\circ}[/tex]
Where, F = force
t = time
r = radius
Put the value into the formula
[tex]P=\dfrac{29\cos0\times2\pi\times0.27}{1.9}[/tex]
[tex]P=15.26\ W[/tex]
Hence, The average power is 15.26 W.