Answer:
so the speed will increase by 1.44 times then the initial speed if the distance is increased to double
Explanation:
As we know that the air friction or resistance due to air is neglected then we can use the equation of kinematics here
![v_f^2 - v_i^2 = 2 a d](https://tex.z-dn.net/?f=v_f%5E2%20-%20v_i%5E2%20%3D%202%20a%20d)
since we released it from rest so we have
![v_i = 0](https://tex.z-dn.net/?f=v_i%20%3D%200)
so here we have
![v_f = \sqrt{2gd}](https://tex.z-dn.net/?f=v_f%20%3D%20%5Csqrt%7B2gd%7D)
now if the distance is double then we have
![v_f' = \sqrt{2g(2d)}](https://tex.z-dn.net/?f=v_f%27%20%3D%20%5Csqrt%7B2g%282d%29%7D)
now from above two equations we can say that
![v_f' = \sqrt2 v_f](https://tex.z-dn.net/?f=v_f%27%20%3D%20%5Csqrt2%20v_f)
so the speed will increase by 1.44 times then the initial speed if the distance is increased to double
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)
If I am to understand this question correctly this is what asks you:
If a person is riding a motorized tricycle how much work do they do?
You may ask yourself, why did I only use part of the question. Simple, the rest is not relevant to what is being asked. The weight, speed, and distance wont affect the person riding any <em><u>motorized vehicle</u></em> other than the time it takes to get from one place to another.
So to answer this question I would say:
Not much, all they really have to do is to steer and set the motorized tricycle to cruise control. Just like any rode certified vehicle.
If you have any questions about my answer please let me know and I will be happy to clarify any misunderstandings. Thanks and have a great day!
Answer:
The only difference between radio waves, visible light and gamma rays is the energy of the photons.'
Bothrays have photons, but in radio waves they are weaker.
Answer:
An object is in motion when its distance from another object is changing. ... A reference point is a place or object used for comparison to determine if something is in motion. An object is in motion if it changes position relative to a reference point. You assume that the reference point is stationary, or not moving.
Explanation: