Answer:
Hoop.
Explanation:
The angular acceleration performed at a given torque:
![\alpha = \frac{\tau}{I}](https://tex.z-dn.net/?f=%5Calpha%20%3D%20%5Cfrac%7B%5Ctau%7D%7BI%7D)
The moments of inertia of each element are described below:
Hoop
![I = M\cdot R^{2}](https://tex.z-dn.net/?f=I%20%3D%20M%5Ccdot%20R%5E%7B2%7D)
Solid sphere
![I = \frac{2}{5}\cdot M \cdot R^{2}](https://tex.z-dn.net/?f=I%20%3D%20%5Cfrac%7B2%7D%7B5%7D%5Ccdot%20M%20%5Ccdot%20R%5E%7B2%7D)
Flat disk
![I = \frac{1}{2}\cdot M \cdot R^{2}](https://tex.z-dn.net/?f=I%20%3D%20%5Cfrac%7B1%7D%7B2%7D%5Ccdot%20M%20%5Ccdot%20R%5E%7B2%7D)
Hollow sphere
![I = \frac{2}{3}\cdot M \cdot R^{2}](https://tex.z-dn.net/?f=I%20%3D%20%5Cfrac%7B2%7D%7B3%7D%5Ccdot%20M%20%5Ccdot%20R%5E%7B2%7D)
The greater the moment of inertia, the greater the torque to obtain the same angular acceleration. Therefore, the hoop requires the largest torque to receive the same angular acceleration.
Answer:
The greater the velocity, the greater the Force needs to be, and the greater the fiction is
Explanation:
I don't know what you are working on so here are a few responses
Answer:
Tarzan will be moving at 7.4 m/s.
Explanation:
From the question given above, the following data were obtained:
Height (h) of cliff = 2.8 m
Initial velocity (u) = 0 m/s
Final velocity (v) =?
NOTE: Acceleration due to gravity (g) = 9.8 m/s²
Finally, we shall determine how fast (i.e final velocity) Tarzan will be moving at the bottom. This can be obtained as follow:
v² = u² + 2gh
v² = 0² + (2 × 9.8 × 2.8)
v² = 0 + 54.88
v² = 54.88
Take the square root of both side
v = √54.88
v = 7.4 m/s
Therefore, Tarzan will be moving at 7.4 m/s at the bottom.
Answer:
7.1 Hz
Explanation:
In a generator, the maximum induced emf is given by
![\epsilon= 2\pi NAB f](https://tex.z-dn.net/?f=%5Cepsilon%3D%202%5Cpi%20NAB%20f)
where
N is the number of turns in the coil
A is the area of the coil
B is the magnetic field strength
f is the frequency
In this problem, we have
N = 200
![A=0.030 m^2](https://tex.z-dn.net/?f=A%3D0.030%20m%5E2)
![\epsilon=8.0 V](https://tex.z-dn.net/?f=%5Cepsilon%3D8.0%20V)
B = 0.030 T
So we can re-arrange the equation to find the frequency of the generator:
![f=\frac{\epsilon}{2\pi NAB}=\frac{8.0 V}{2\pi (200)(0.030 m^2)(0.030 T)}=7.1 Hz](https://tex.z-dn.net/?f=f%3D%5Cfrac%7B%5Cepsilon%7D%7B2%5Cpi%20NAB%7D%3D%5Cfrac%7B8.0%20V%7D%7B2%5Cpi%20%28200%29%280.030%20m%5E2%29%280.030%20T%29%7D%3D7.1%20Hz)
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