<em>There are some placeholders in the expression, but they can be safely assumed</em>
Answer:
(a) ![f=1617.9\ Hz](https://tex.z-dn.net/?f=f%3D1617.9%5C%20Hz)
(b) ![T=0.618\ ms](https://tex.z-dn.net/?f=T%3D0.618%5C%20ms)
(c) ![A=20 \ Volts](https://tex.z-dn.net/?f=A%3D20%20%5C%20Volts)
(d) ![\varphi=60^o](https://tex.z-dn.net/?f=%5Cvarphi%3D60%5Eo)
Explanation:
<u>Sinusoidal Waves
</u>
An oscillating wave can be expressed as a sinusoidal function as follows
![V(t)&=A\cdot \sin(2\pi ft+\varphi )](https://tex.z-dn.net/?f=V%28t%29%26%3DA%5Ccdot%20%5Csin%282%5Cpi%20ft%2B%5Cvarphi%20%29)
Where
![A=Amplitude](https://tex.z-dn.net/?f=A%3DAmplitude)
![f=frequency](https://tex.z-dn.net/?f=f%3Dfrequency)
![\varphi=Phase\ angle](https://tex.z-dn.net/?f=%5Cvarphi%3DPhase%5C%20%20angle)
The voltage of the question is the sinusoid expression
![V(t)=20cos(5\pi\times 103t+60^o)](https://tex.z-dn.net/?f=V%28t%29%3D20cos%285%5Cpi%5Ctimes%20103t%2B60%5Eo%29)
(a) By comparing with the general formula we have
![f=5\pi\times 103=1617.9\ Hz](https://tex.z-dn.net/?f=f%3D5%5Cpi%5Ctimes%20103%3D1617.9%5C%20Hz)
![\boxed{f=1617.9\ Hz}](https://tex.z-dn.net/?f=%5Cboxed%7Bf%3D1617.9%5C%20Hz%7D)
(b) The period is the reciprocal of the frequency:
![\displaystyle T=\frac{1}{f}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20T%3D%5Cfrac%7B1%7D%7Bf%7D)
![\displaystyle T=\frac{1}{1617.9\ Hz}=0.000618\ sec](https://tex.z-dn.net/?f=%5Cdisplaystyle%20T%3D%5Cfrac%7B1%7D%7B1617.9%5C%20Hz%7D%3D0.000618%5C%20sec)
Converting to milliseconds
![\boxed{T=0.618\ ms}](https://tex.z-dn.net/?f=%5Cboxed%7BT%3D0.618%5C%20ms%7D)
(c) The amplitude is
![\boxed{A=20 \ Volts}](https://tex.z-dn.net/?f=%5Cboxed%7BA%3D20%20%5C%20Volts%7D)
(d) Phase angle:
![\boxed{\varphi=60^o}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cvarphi%3D60%5Eo%7D)
The average speed would be 33.29m/s.The average speed equation is:
![Average speed = \frac{total distance}{total time}](https://tex.z-dn.net/?f=Average%20speed%20%3D%20%20%5Cfrac%7Btotal%20distance%7D%7Btotal%20time%7D%20)
First you will need to solve for the distance you traveled in each scenario. So we can solve this by getting the product of speed and the time traveled.
Scenario 1:
Speed = 29m/s
Time = 120s
Distance = ?
Distance = (29m/s)(120s)
= 3,480m
Scenario 2
Speed = 35m/s
Time = 300s
Distance = ?
Distance = (35m/s)(300s)
= 10,500m
Now that you have the distance of both, you can solve for your average speed.
Answer:
Whats up Bmw,
The organisms is caused when both the organisms or species are harmed, which is limited supply of at least one resource from food or even water used by both can be a factor.
Explanation:
Hope I helped you, and let me know if you need help on anything else :p
Answer:
120 N
Explanation:
F=ma therefore 60kg times 2m/s^2 is 120 N
Answer:
4 m/s²
Explanation:
When the elevator is 1 m below point of contact , compression will be 1 m.
Restoring force in the spring will be 10600 N. Friction force of 17000N will also act in upward direction . The weight of 2000 x 9.8 N will act downwards
Force in down ward direction = 2000 x 9.8
= 19600 N
Force in upward direction
= 10600 + 17000
= 27600 N
Net force in upward direction
= 27600 - 19600
= 8000 N
Acceleration in upward direction
= 8000 / 2000
= 4 m/s²