Answer: The time period of the given wave with frequency of 425 Hertz is 0.0023 seconds.
Explanation:
Frequency of the wave = 425 Hertz =![425 sec^{-1}](https://tex.z-dn.net/?f=425%20sec%5E%7B-1%7D)
![\text{Time period}=\frac{1}{Frequency}](https://tex.z-dn.net/?f=%5Ctext%7BTime%20period%7D%3D%5Cfrac%7B1%7D%7BFrequency%7D)
![\text{Time period}==\frac{1}{425 sec^{-1}}=0.0023 sec](https://tex.z-dn.net/?f=%5Ctext%7BTime%20period%7D%3D%3D%5Cfrac%7B1%7D%7B425%20sec%5E%7B-1%7D%7D%3D0.0023%20sec)
The time period of the given wave with frequency of 425 Hertz is 0.0023 seconds.
Answer:
9.81 × 10 = 98.1 meters
vertical displacement is s=1/2 at^2 + vt
initial vertical velocity is 0 so s=1/2 at^2
a in this instance is gravitational acceleration so 60m= 1/2 (9.81)t^2
solve for t, t = 3.497s. //I corrected this answer as just now I misread horizontal as vertical.
<span>Answer:
F(x) = ax^2 - bx
or
F(x) = ax² - bx
F(x) = 30x² - 6x
â«F(x)dx = â«(30x² - 6x)dx
as this is evaluated from zero to x
W = 10x³ - 3x² <===ANS
W = 10(0.42³) - 3(0.42²) - [10(0³) - 3(0²)]
W = 0.212 J <===ANS
W = 10(0.72³) - 3(0.72²) - [10(0.42³) - 3(0.42²)]
W = 1.966 J <===ANS</span>
Answer:
ωi = 15.4 rev/sec
Explanation:
Since the movement of the fan is rotating, we are thus dealing with Rotational motion. In rotational motion, for angular speed to take place also means angular acceleration is also occurring.
angular acceleration = α = (change in speed)/(change in time)
angular acceleration = α = Δw/Δt = (ω - ωi) /(t- t₀) ..........(equation 1)
α = (ω -ωi) /(t- 0)
α = (ω-ωi) /t
ωi = ω - αt ......................................(equation 2)
where ωi is the initial angular speed.
We replace the values for ω, t and α
ωi = 105 rad/sec - ( 4.4 rad/sec² )(1.85s) = 96.86 rad/s = 15.415747788 rev/sec