To solve the problem, it is necessary to apply the concepts related to the kinematic equations of the description of angular movement.
The angular velocity can be described as
![\omega_f = \omega_0 + \alpha t](https://tex.z-dn.net/?f=%5Comega_f%20%3D%20%5Comega_0%20%2B%20%5Calpha%20t)
Where,
Final Angular Velocity
Initial Angular velocity
Angular acceleration
t = time
The relation between the tangential acceleration is given as,
![a = \alpha r](https://tex.z-dn.net/?f=a%20%3D%20%5Calpha%20r)
where,
r = radius.
PART A ) Using our values and replacing at the previous equation we have that
![\omega_f = (94rpm)(\frac{2\pi rad}{60s})= 9.8436rad/s](https://tex.z-dn.net/?f=%5Comega_f%20%3D%20%2894rpm%29%28%5Cfrac%7B2%5Cpi%20rad%7D%7B60s%7D%29%3D%209.8436rad%2Fs)
![\omega_0 = 63rpm(\frac{2\pi rad}{60s})= 6.5973rad/s](https://tex.z-dn.net/?f=%5Comega_0%20%3D%2063rpm%28%5Cfrac%7B2%5Cpi%20rad%7D%7B60s%7D%29%3D%206.5973rad%2Fs)
![t = 11s](https://tex.z-dn.net/?f=t%20%3D%2011s)
Replacing the previous equation with our values we have,
![\omega_f = \omega_0 + \alpha t](https://tex.z-dn.net/?f=%5Comega_f%20%3D%20%5Comega_0%20%2B%20%5Calpha%20t)
![9.8436 = 6.5973 + \alpha (11)](https://tex.z-dn.net/?f=9.8436%20%3D%206.5973%20%2B%20%5Calpha%20%2811%29)
![\alpha = \frac{9.8436- 6.5973}{11}](https://tex.z-dn.net/?f=%5Calpha%20%3D%20%5Cfrac%7B9.8436-%206.5973%7D%7B11%7D)
![\alpha = 0.295rad/s^2](https://tex.z-dn.net/?f=%5Calpha%20%3D%200.295rad%2Fs%5E2)
The tangential velocity then would be,
![a = \alpha r](https://tex.z-dn.net/?f=a%20%3D%20%5Calpha%20r)
![a = (0.295)(0.2)](https://tex.z-dn.net/?f=a%20%3D%20%280.295%29%280.2%29)
![a = 0.059m/s^2](https://tex.z-dn.net/?f=a%20%3D%200.059m%2Fs%5E2)
Part B) To find the displacement as a function of angular velocity and angular acceleration regardless of time, we would use the equation
![\omega_f^2=\omega_0^2+2\alpha\theta](https://tex.z-dn.net/?f=%5Comega_f%5E2%3D%5Comega_0%5E2%2B2%5Calpha%5Ctheta)
Replacing with our values and re-arrange to find ![\theta,](https://tex.z-dn.net/?f=%5Ctheta%2C)
![\theta = \frac{\omega_f^2-\omega_0^2}{2\alpha}](https://tex.z-dn.net/?f=%5Ctheta%20%3D%20%5Cfrac%7B%5Comega_f%5E2-%5Comega_0%5E2%7D%7B2%5Calpha%7D)
![\theta = \frac{9.8436^2-6.5973^2}{2*0.295}](https://tex.z-dn.net/?f=%5Ctheta%20%3D%20%5Cfrac%7B9.8436%5E2-6.5973%5E2%7D%7B2%2A0.295%7D)
![\theta = 90.461rad](https://tex.z-dn.net/?f=%5Ctheta%20%3D%2090.461rad)
That is equal in revolution to
![\theta = 90.461rad(\frac{1rev}{2\pi rad}) = 14.397rev](https://tex.z-dn.net/?f=%5Ctheta%20%3D%2090.461rad%28%5Cfrac%7B1rev%7D%7B2%5Cpi%20rad%7D%29%20%3D%2014.397rev)
The linear displacement of the system is,
![x = \theta*(2\pi*r)](https://tex.z-dn.net/?f=x%20%3D%20%5Ctheta%2A%282%5Cpi%2Ar%29)
![x = 14.397*(2\pi*\frac{0.25}{2})](https://tex.z-dn.net/?f=x%20%3D%2014.397%2A%282%5Cpi%2A%5Cfrac%7B0.25%7D%7B2%7D%29)
![x = 11.3m](https://tex.z-dn.net/?f=x%20%3D%2011.3m)
Answer:
5 seconds
Explanation:
<em>Acceleration = (final velocity - initial velocity) ÷ time</em>
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I believe it’s (D. Any object)
Answer:
A 100 N force acting on a lever 2 m from the fulcrum balances an object 0.5 m from the fulcrum on. ... What is the weight of the object(in newtons)? What is its mass (in kg)? ... mass at the one end and effort arm is the distance between pivot and effort applied at the other end.
Explanation:
hpoe this helps you.
Answer:
A driver.
Explanation:
Using a driver while at least 350 yds away is better than using a iron, because it will be a waste of the par 4 as it is not as powerful as the driver.