A roller of radius 12.5 cm turns at 14 revolutions per second. What is the linear velocity of the roller in meters per second?
2 answers:
Answer:
Linear velocity of the roller, v = 11 m/s
Explanation:
It is given that,
Radius of roller, r = 12.5 cm = 0.125 m
Angular velocity of the roller,
Firstly, we will convert revolution per second to radian per second i.e.
Angular velocity,
We need to find the linear velocity of the roller. It can be calculated by taking the product of angular velocity and the radius of roller.
v = 10.995 m/s
or
v = 11 m/s
So, the linear velocity of the roller is 11 m/s. Hence, this is the required solution.
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Answer:
The fraction fraction of the final energy is stored in an initially uncharged capacitor after it has been charging for 3.0 time constants is
Explanation:
From the question we are told that
The time constant
The potential across the capacitor can be mathematically represented as
Where is the voltage of the capacitor when it is fully charged
So at
Generally energy stored in a capacitor is mathematically represented as
In this equation the energy stored is directly proportional to the the square of the potential across the capacitor
Now since capacitance is constant at
The energy stored can be evaluated at as
Hence the fraction of the energy stored in an initially uncharged capacitor is