An energy storage system based on a flywheel (a rotating disk) can store a maximum of 4.1 MJ when the flywheel is rotating at 14
1 answer:
Incomplete question.The complete question is here
An energy storage system based on a flywheel (a rotating disk) can store a maximum of 4.1 MJ when the flywheel is rotating at 14000 revolutions per minute.What is the moment of inertia of the flywheel?
Answer:
Moment of inertia=3.82 kg.m²
Explanation:
Given data
Energy E=4.1 MJ=4.1×10⁶J
Angular speed ω= 14000 rev/min= 14000×2π/60=1465.3 rad/s
To find
Moment of Inertia
Solution
A rotating flywheel must store its energy as kinetic energy
Let I be moment of inertia of the flywheel.We Know
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The capacitor reaches 70% of its final potential difference after 1.21 time constants
Explanation:
In an RC circuit, when an initially uncharged capacitor is connected to a battery, charge starts to flow through the circuit and accumulates on the capacitor.
As a result, the potential difference across the capacitor also increases, until the capacitor becomes fully charged.
The potential difference across the capacitor follows the equation:
where
is the final potential difference on the capacitor, which is equal to the potential difference of the battery
is the time constant of the circuit
In this problem, we are asked after what time the capacitor reaches 70% of its final potential difference, therefore the time t at which
Substituting into the equation and solving for t, we find:
Therefore, the capacitor reaches 70% of its final potential difference after 1.21 time constants.
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