A sample of the inert gas krypton has its pressure tripled. if the original volume is 12 l, what is the final volume in l
1 answer:
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10.3
Explanation:
Step 1:
The pressure exerted by any liquid column of height, h density d is given by the formula P = h * d * g
Step 2:
It is given that one atmosphere pressure pushes up 76.0 cm of mercury, we need to calculate the level of water that will be pushed by the same pressure.
Step 3:
Since the pressure pushing up mercury and water is the same
*
* g =
*
* g
=
= (13.6 g/cm * 76 cm)/1 g/cm = 1033.6 cm
Step 4:
Now we need to express the answer in meters.
1 m = 100 cm.
1033.6 cm = 10.336 m
This can be rounded off to 10.3 m
Answer:
The maximum speed of the wing tip is 1.25 m/s
Explanation:
In simple harmonic motion, the body experiences a restoring force whose magnitude is directly proportional to the distance from its mean position and its direction is towards the mean position.
The speed in the case of simple harmonic motion is given by the equation :
v = Aωsinωt
Here A is maximum displacement, t is time and ω is the angular frequency of oscillation.
For maximum speed, sinωt = 1 . So, the above equation becomes:
v = Aω
But, ω = 2πf , here f is the frequency of oscillation. So,
v = A x 2πf .....(1)
In this problem,
Frequency of oscillation, f = 40 Hz
Total distance between the upper and lower limits of motion of wing tip is equal to the twice of maximum displacement of the wing tip from the equilibrium position, i.e. ,
2 x A = 1 cm
A = 0.5 cm = 0.5 x 10⁻² m
Substitute the value of f and A in equation (1).
v = 1.25 m/s