12.8 rad
Explanation:
The angular displacement
through which the wheel turned can be determined from the equation below:
(1)
where
![\omega_0 = 0](https://tex.z-dn.net/?f=%5Comega_0%20%3D%200)
![\omega = 34.7\:\text{rad/s}](https://tex.z-dn.net/?f=%5Comega%20%3D%2034.7%5C%3A%5Ctext%7Brad%2Fs%7D)
![\alpha = 47.0\:\text{rad/s}^2](https://tex.z-dn.net/?f=%5Calpha%20%3D%2047.0%5C%3A%5Ctext%7Brad%2Fs%7D%5E2)
Using these values, we can solve for
from Eqn(1) as follows:
![2\alpha\theta = \omega^2 - \omega_0^2](https://tex.z-dn.net/?f=2%5Calpha%5Ctheta%20%3D%20%5Comega%5E2%20-%20%5Comega_0%5E2)
or
![\theta = \dfrac{\omega^2 - \omega_0^2}{2\alpha}](https://tex.z-dn.net/?f=%5Ctheta%20%3D%20%5Cdfrac%7B%5Comega%5E2%20-%20%5Comega_0%5E2%7D%7B2%5Calpha%7D)
![\:\:\:\:= \dfrac{(34.7\:\text{rad/s})^2 - 0}{2(47.0\:\text{rad/s}^2)}](https://tex.z-dn.net/?f=%5C%3A%5C%3A%5C%3A%5C%3A%3D%20%5Cdfrac%7B%2834.7%5C%3A%5Ctext%7Brad%2Fs%7D%29%5E2%20-%200%7D%7B2%2847.0%5C%3A%5Ctext%7Brad%2Fs%7D%5E2%29%7D)
![\:\:\:\:= 12.8\:\text{rad}](https://tex.z-dn.net/?f=%5C%3A%5C%3A%5C%3A%5C%3A%3D%2012.8%5C%3A%5Ctext%7Brad%7D)
Answer:
Generally Accepted Accounting Principles (GAAP)
Explanation:
The body of rules and procedures that guide the measurement and communication of financial accounting information in the United States is known as:
Answer:
The force exerted by the biceps is 143.8 kgf.
Explanation:
To calculate the force exerted by the biceps, we calculate the momentum in the elbow.
This momentum has to be zero so that her forearm remains motionless.
Being:
W: mass weight (6.15 kg)
d_W= distance to the mass weight (0.425 m)
A: weight of the forearm (2.25 kg)
d_A: distance to the center of mass of the forearm (0.425/2=0.2125 m)
H: force exerted by the biceps
d_H: distance to the point of connection of the biceps (0.0215 m)
The momemtum is:
![H*d_H-A*d_A-W*d_W=0\\\\H=(A*d_A+W*d_W)/d_H\\\\H=(2.25*0.2125+6.15*0.425)/0.0215\\\\H=(0.478125+2.61375)/0.0215\\\\H=3.091875/0.0215=143.8](https://tex.z-dn.net/?f=H%2Ad_H-A%2Ad_A-W%2Ad_W%3D0%5C%5C%5C%5CH%3D%28A%2Ad_A%2BW%2Ad_W%29%2Fd_H%5C%5C%5C%5CH%3D%282.25%2A0.2125%2B6.15%2A0.425%29%2F0.0215%5C%5C%5C%5CH%3D%280.478125%2B2.61375%29%2F0.0215%5C%5C%5C%5CH%3D3.091875%2F0.0215%3D143.8)
The force exerted by the biceps is 143.8 kgf.
Answer:
having or representing the sun as the centre, as in the accepted astronomical model of the solar system.
Explanation:
Heliocentrism is the astronomical model in which the Earth and planets revolve around the Sun at the center of the Universe. Historically, heliocentrism was opposed to geocentrism, which placed the Earth at the center.
Answer: Hello Results of examples 5.4 and 5.5 are missing from your question but I was able to find it online and use it to resolve your question
answer :
a) 1780 m^3/sec
b) 23.81 m
Explanation:
<u>a) calculate the number of m^3 of water flowing through an OTEC plant charge </u>
<em>assumption : assuming an ideal heat engine</em>
Q / t = m*c*∆T * (eff) / t
1e^9 J/s = 1g/cc *V(1cal/g°C) * 2°C (6.7%)*(4.184J/cal) / t
Hence: V / t ( number of m^3 of water ) = 1.78e^9 cc / sec = 1.78 * 10
= 1780 m^3/sec
<em><u>b) Determine the diameter of pipes </u></em>
Given that the water flows at 4m/s ( velocity )
1780 m^3 /sec = A * V ------ ( 1 )
A = π*d^2/4 = 1780 / 4 = 445 m^2 -------- ( 2 )
v = 4 m/s
Back to equation 2
d^2 = ( 445 * 4 ) / π
≈ 567
∴ necessary diameter ( d ) =
= 23.81 m