A resistor is connected to a 36v power supply. An ammeter measures a current of 2.0 A going through it. Determine the resistance
1 answer:
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The volume of the balloon will halve
Explanation:
Boyle's law states that for an ideal gas kept at constant temperature, the pressure of the gas is proportional to its volume. Mathematically,
where
p is the gas pressure
V is the volume
The equation can also be rewritten as
And if we apply it to the gas inside the balloon in this problem (assuming its temperature is constant), we have:
is the initial pressure at sea level (the atmospheric pressure)
is the initial volume
is the final pressure
is the final volume
Substituting into the equation, we find:
Which means that the volume of the balloon will halve.
Learn more about ideal gases:
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Answer:
The moment of inertia of the motor is 0.0823 Newton-meter-square seconds.
Explanation:
From Newton's Laws of Motion and Principle of Motion of D'Alembert, the net torque of a system (), measured in Newton-meters, is:
(1)
Where:
- Moment of inertia, measured in Newton-meter-square seconds.
- Angular acceleration, measured in radians per square second.
If motor have an uniform acceleration, then we can calculate acceleration by this formula:
(2)
Where:
- Initial angular speed, measured in radians per second.
- Final angular speed, measured in radians per second.
- Time, measured in seconds.
If we know that ,
,
and
, then the moment of inertia of the motor is:
The moment of inertia of the motor is 0.0823 Newton-meter-square seconds.