We have that The moles of air are in the cylinder and the volume would this air occupy at 1.0 atm and room Temperature is
From the question we are told
- A compressed air cylinder stands 100 cm tall
- internal diameter 20.0 cm
- At room temperature, the pressure is 180 atm
Generally the equation for the Volume of Cylinder is mathematically given as
Therefore
The equation for the ideal gas is mathematically given as
Generally the equation for the ideal gas is mathematically given as
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Complete Question
A 100-W (watt) light bulb has resistance R=143Ω (ohms) when attached to household current, where voltage varies as V=V0sin(2πft), where V0=110 V, f=60 Hz. The power supplied to the bulb is P=V2R J/s (joules per second) and the total energy expended over a time period [0,T] (in seconds) is
Compute U if the bulb remains on for 5h
Answer:
The value is
Explanation:
From the question we are told that
The power rating of the bulb is
The resistance is
The voltage is
The energy expanded is
The voltage
The frequency is
The time considered is
Generally power is mathematically represented as
=>
=>
So
=>
=>
=>
=>
=>
=>
Let's call
the frequency of the nth-harmonic and
the frequency of the (n+1)th harmonic, wish is the next harmonic.
Since the frequency of the nth-harmonic is n times the fundamental frequency f1:
then the difference between two successive harmonics is equal to the fundamental frequency of the tube:
so, by using 350 Hz and 280 Hz as successive harmonics, we find the fundamental frequency of the tube:
The wavelength of the first harmonic is twice the length of the tube:
And since we know both frequency and wavelength, we can find the speed of the wave in the tube, which is the speed of sound in the gas in the tube:
Answer:
The orbital velocity
The period is
Explanation:
Generally centripetal force acting ring particle is equal to the gravitational force between the ring particle and the planet , this is mathematically represented as
=>
Here G is the gravitational constant with value
is the mass of with value
r is the is distance from the center of the to the outer edge of the A ring
i.e r = R + D
Here R is the radius of the planet with value
D is the distance from the equator to the outer edge of the A ring with value
So
=>
So
=>
=>
Generally the orbital velocity is mathematically represented as
=>
=>
Generally the period is mathematically represented as
=>
=>
Answer:
The orbital velocity
The period is
Explanation:
Generally centripetal force acting ring particle is equal to the gravitational force between the ring particle and the , this is mathematically represented as