Answer:![\alpha =9.302\ rad/s^2](https://tex.z-dn.net/?f=%5Calpha%20%3D9.302%5C%20rad%2Fs%5E2)
Explanation:
Given
mass of sphere ![m=250\ gm](https://tex.z-dn.net/?f=m%3D250%5C%20gm)
diameter of sphere ![d=4.30\ cm](https://tex.z-dn.net/?f=d%3D4.30%5C%20cm)
radius ![r=\frac{4.30}{2}\ cm](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B4.30%7D%7B2%7D%5C%20cm)
![f=0.0200\ N](https://tex.z-dn.net/?f=f%3D0.0200%5C%20N)
friction will provide resisting torque so
where ![I=\text{moment of Inertia}](https://tex.z-dn.net/?f=I%3D%5Ctext%7Bmoment%20of%20Inertia%7D)
![f=\text{friction force}](https://tex.z-dn.net/?f=f%3D%5Ctext%7Bfriction%20force%7D)
![\alpha =\text{angular acceleration}](https://tex.z-dn.net/?f=%5Calpha%20%3D%5Ctext%7Bangular%20acceleration%7D)
![I=\frac{2}{5}mr^2](https://tex.z-dn.net/?f=I%3D%5Cfrac%7B2%7D%7B5%7Dmr%5E2)
![0.02\times r=\frac{2}{5}mr^2\times \alpha](https://tex.z-dn.net/?f=0.02%5Ctimes%20r%3D%5Cfrac%7B2%7D%7B5%7Dmr%5E2%5Ctimes%20%5Calpha%20)
![\alpha =\frac{5}{2r}\times f](https://tex.z-dn.net/?f=%5Calpha%20%3D%5Cfrac%7B5%7D%7B2r%7D%5Ctimes%20f)
![\alpha =\frac{5}{2}\times \frac{2}{4.3\times 10^{-2}}\times 0.02](https://tex.z-dn.net/?f=%5Calpha%20%3D%5Cfrac%7B5%7D%7B2%7D%5Ctimes%20%5Cfrac%7B2%7D%7B4.3%5Ctimes%2010%5E%7B-2%7D%7D%5Ctimes%200.02)
![\alpha =9.302\ rad/s^2](https://tex.z-dn.net/?f=%5Calpha%20%3D9.302%5C%20rad%2Fs%5E2)
(b)time taken to decrease its rotational speed by ![21\ rad/s](https://tex.z-dn.net/?f=21%5C%20rad%2Fs)
![t=\dfrac{\Delta \omega }{\alpha }](https://tex.z-dn.net/?f=t%3D%5Cdfrac%7B%5CDelta%20%5Comega%20%7D%7B%5Calpha%20%7D)
![t=\dfrac{21}{9.302}](https://tex.z-dn.net/?f=t%3D%5Cdfrac%7B21%7D%7B9.302%7D)
![t=2.25\ s](https://tex.z-dn.net/?f=t%3D2.25%5C%20s)
It is electrical energy into connected energy has in relation to the question
For this case we must do a conversion. By definition we have to:
1 inch equals 2.54 centimeters
1 day equals 24 hours.
So, we have:![18 \frac {in} {day} * \frac {1} {24} \frac {day} {h} * \frac {2.54} {1} \frac {cm} {in} =](https://tex.z-dn.net/?f=18%20%5Cfrac%20%7Bin%7D%20%7Bday%7D%20%2A%20%5Cfrac%20%7B1%7D%20%7B24%7D%20%5Cfrac%20%7Bday%7D%20%7Bh%7D%20%2A%20%5Cfrac%20%7B2.54%7D%20%7B1%7D%20%5Cfrac%20%7Bcm%7D%20%7Bin%7D%20%3D)
Canceling units we have:
![\frac {18 * 1 * 2.54} {24 * 1} \frac {cm} {h} =\\\frac {45.72} {24}\frac {cm} {h} =](https://tex.z-dn.net/?f=%5Cfrac%20%7B18%20%2A%201%20%2A%202.54%7D%20%7B24%20%2A%201%7D%20%5Cfrac%20%7Bcm%7D%20%7Bh%7D%20%3D%5C%5C%5Cfrac%20%7B45.72%7D%20%7B24%7D%5Cfrac%20%7Bcm%7D%20%7Bh%7D%20%3D)
![1,905 \frac {cm} {h}](https://tex.z-dn.net/?f=1%2C905%20%5Cfrac%20%7Bcm%7D%20%7Bh%7D)
Answer:
![1,905 \frac {cm} {h}](https://tex.z-dn.net/?f=1%2C905%20%5Cfrac%20%7Bcm%7D%20%7Bh%7D)
Answer:
One battery, two resistors, two switches, three light bulbs
Explanation:
Each component is indicated with the following symbols:
- Battery: it is the one on the right, consisting of two longer lines and two shorter lines. It is the device that provides the electromotive force to the circuit
- Resistors: they are the devices on the bottom line, consisting of zig-zag lines. Resistors are pieces of circuit that resist to the flow of current in the circuit.
- Switches: they are labelled with a line with two dots at both ends. They can be opened/closed in order to stop/allow the flow of current in the circuit.
- Light bulbs: they are labelled with a circle filled with a X.