First we need to convert the frequency to the correct SI units (seconds)
Frequency of bell = 1440/60 = 24 Hertz (Strikes per second)
Power is the rate of work being done or the work done per second.
P = E/t = (24 * 0.2)/1 = 4.8 Watt
Answer:39.88 rad/s
Explanation:
Given
mass of cylinder m_1=18 kg
radius R=1.7 m
angular speed ![\omega =40rad/s](https://tex.z-dn.net/?f=%5Comega%20%3D40rad%2Fs)
mass of
dropped at r=0.3 m from center
let
be the final angular velocity of cylinder
Conserving Angular momentum
![L_1=L_2](https://tex.z-dn.net/?f=L_1%3DL_2)
![\left ( \frac{m_1R^2}{2}\right )\omega =\left ( \frac{m_1R^2}{2}+m_2r^2\right )\omega _2](https://tex.z-dn.net/?f=%5Cleft%20%28%20%5Cfrac%7Bm_1R%5E2%7D%7B2%7D%5Cright%20%29%5Comega%20%3D%5Cleft%20%28%20%5Cfrac%7Bm_1R%5E2%7D%7B2%7D%2Bm_2r%5E2%5Cright%20%29%5Comega%20_2)
![\left ( \frac{18\cdot 1.7^2}{2}\right )\cdot 40=\left ( \frac{18\cdot 1.7^2}{2}+0.8\cdot 0.3^2\right )\omega _2](https://tex.z-dn.net/?f=%5Cleft%20%28%20%5Cfrac%7B18%5Ccdot%201.7%5E2%7D%7B2%7D%5Cright%20%29%5Ccdot%2040%3D%5Cleft%20%28%20%5Cfrac%7B18%5Ccdot%201.7%5E2%7D%7B2%7D%2B0.8%5Ccdot%200.3%5E2%5Cright%20%29%5Comega%20_2)
![26.01\times 40=26.082\times \omega _2](https://tex.z-dn.net/?f=26.01%5Ctimes%2040%3D26.082%5Ctimes%20%5Comega%20_2)
![\omega _2=39.88 rad/s](https://tex.z-dn.net/?f=%5Comega%20_2%3D39.88%20rad%2Fs)
Answer:
A. 4.47 m/s
Explanation:
As the ball oscillates, it mechanical energy, aka the total kinetic and elastics energy stays the same. For the ball to be at maximum speed, its elastic energy i 0 and vice versa. When the ball is at rest, its kinetic energy is 0 and its elastic energy is at maximum at 50 cm, or 0.5 m
1500 g = 1.5 kg
![E_e = E_k](https://tex.z-dn.net/?f=E_e%20%3D%20E_k)
![kx^2/2 = mv^2/2](https://tex.z-dn.net/?f=kx%5E2%2F2%20%3D%20mv%5E2%2F2)
![120*0.5^2/2 = 1.5*v^2/2](https://tex.z-dn.net/?f=120%2A0.5%5E2%2F2%20%3D%201.5%2Av%5E2%2F2)
![15 = 0.75v^2](https://tex.z-dn.net/?f=15%20%3D%200.75v%5E2)
![v^2 = 15 / 0.75 = 20](https://tex.z-dn.net/?f=v%5E2%20%3D%2015%20%2F%200.75%20%3D%2020)
![v = \sqrt{20} = 4.47 m/s](https://tex.z-dn.net/?f=v%20%3D%20%5Csqrt%7B20%7D%20%3D%204.47%20m%2Fs)
A reflecting telescope is an optical telescope which uses a combination of curved or plane mirrors to reflect light and form an image, rather than lenses to refract or bend light to form an image It is usually used for astronomical purposes.
Hope this helps (: