A metal underground water pipe that is in direct contact with the Earth for ? or more is a code-recognized as a grounding electr
1 answer:
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The angular speed of the rod after the impact is 1.49 rad/s
What is angular speed?
The rate of change of angular displacements is known as angular speed.
Angular speed is a scalar measure of the rotating object.
What is Angular momentum?
It is the property of a rotating body given by the product of the moment of inertia and the angular velocity of the rotating object.
Angular momentum is expressed as follows:
L=m*v*r
Here,
mass of beam, M =20 kg
mass of rock, m =0.1 kg
length of the beam, L =2 m
length where rock slides, l = (L / 2), l = 1 m
velocity of rock, v =400 m/s
As here the Torque on which the system is zero implies that the angular momentum is conserved.
Initial angular momentum for rock: I(ri) = m*v*r
Final angular momentum for rock: I(rf) = m*w*r^2
Final angular momentum for beam: I(bf) = 1/3 (M*L^2w)
Now, According to the conservation of momentum:
m*v*r = m*w*r^2 + 1/3 (ML^2w)
w = m*v*r / ( mr^2 + 1/3 ML^2 )
w = 0.1 *400*1 / ( (0.1 * 1) + 1/3 20* 2^2 )
w = 1.49 rad / s
The angular speed of the rod after the impact is 1.49 rad/s
Learn more about Angular speed here:
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Answer:
All these laws give the relationship between two quantities of the gas among V (volume), p (pressure) and T (temperature), keeping the third one constant - however the two quantities change for each law
Explanation:
Calling:
p = gas pressure
V = gas volume
T = gas temperature (in Kelvin)
We have:
- Boyle's law: the pressure and the volume of a gas kept at constant temperature are inversely proportional. Mathematically,
- Charles's law: the temperature and the volume of a gas kept at constant pressure are directly proportional. Mathematically,
- Gay Lussac's law: the temperature and the pressure of a gas kept at constant volume are directly proportional. Mathematically,