First of all, we need to convert the angular speed from rev/min into rev/s:
![\omega_f=300 rev/min=5 rev/s](https://tex.z-dn.net/?f=%20%5Comega_f%3D300%20rev%2Fmin%3D5%20rev%2Fs%20)
The angular acceleration is the variation of angular speed divided by the time:
![\alpha=\frac{\omega_f-\omega_i}{t}=\frac{5 rev/s-0}{2 s}=2.5 rev/s^2](https://tex.z-dn.net/?f=%20%5Calpha%3D%5Cfrac%7B%5Comega_f-%5Comega_i%7D%7Bt%7D%3D%5Cfrac%7B5%20rev%2Fs-0%7D%7B2%20s%7D%3D2.5%20rev%2Fs%5E2%20%20%20)
And this is constant, so we can use the following equation to calculate the angle through which the engine has rotated:
![\theta(t)=\frac{1}{2}\alpha t^2 =\frac{1}{2}(2.5 rev/s^2)(2 s)^2=5 rev](https://tex.z-dn.net/?f=%20%5Ctheta%28t%29%3D%5Cfrac%7B1%7D%7B2%7D%5Calpha%20t%5E2%20%3D%5Cfrac%7B1%7D%7B2%7D%282.5%20rev%2Fs%5E2%29%282%20s%29%5E2%3D5%20rev%20%20%20)
so, 5 revolutions.
Answer:
New volume, v2 = 0.8L
Explanation:
<u>Given the following data;</u>
Original Volume = 2L
Original Temperature = 280K
New Temperature = 700K
To find new volume V2, we would use Charles' law.
Charles states that when the pressure of an ideal gas is kept constant, the volume of the gas is directly proportional to the absolute temperature of the gas.
Mathematically, Charles is given by;
Making V2 as the subject formula, we have;
![V_{2}= \frac{2}{700} * 280](https://tex.z-dn.net/?f=%20V_%7B2%7D%3D%20%5Cfrac%7B2%7D%7B700%7D%20%2A%20280)
![V_{2}= 0.0029 * 280](https://tex.z-dn.net/?f=%20V_%7B2%7D%3D%200.0029%20%2A%20280)
V2 = 0.8L
Therefore, the volume of the gas after it is heated is 0.8L.
After the great 1906 San Francisco earthquake, geolophysicistHarry Fielding Reid examined the displacement of the ground surface along the San Andreas Fault. He concluded that the quake must have been the result of the elastic reboundof the strain energy in the rocks on either side of the fault.
strain energy is 0. 5x force x (compression) X (compression)
There is a lot of force and a bit of compression when rocks squash up against other rocks causing earthquakes
Answer:
The best choice would be c
Explanation: Sarah wants this wind turbine to efficient since she can only get one. C has the most reasonable option data collected will help her know the best wind speed over her farm.
Answer:
9.4
Explanation:
magnitude is the sum of the squares.
![\sqrt{5^2+8^2} =9.4339\\](https://tex.z-dn.net/?f=%5Csqrt%7B5%5E2%2B8%5E2%7D%20%3D9.4339%5C%5C)
If you are given horizontal and vertical components, treat those as the rise and run of a triangle, the rise of 8 with a run of 5 and you want to find the hypotenuse.
How do you find the long side of a triangle?