Physics, 17.12.2019 23:31 JOEFRESH10

Flywheels are large, massive wheels used to store energy. they can be spun up slowly, then the wheels energy can be released quickly to accomplish a task that demands high power. an industrial flywheel has a 1.5 m diameter and a mass of 250 kg.
1. a motor spins up the flywheel with a constant torque of 50 n*m. how long does it take the flywheel to reach top angular speed of 1200 rpm
2. how much energy is stored in the flywheel?

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Answer from: krisgrace1485

176.99113 seconds

555165.24756 J

Explanation:

d = Diameter of wheel = 1.5 m

r = Radius = $\dfrac{d}{2}=\dfrac{1.5}{2}=0.75\ m$

m = Mass of wheel = 250 kg

$\tau$ = Torque = 50 Nm

$\omega$ = Angular speed = 1200 rpm

Moment of inertia is given by

$I=\dfrac{1}{2}mr^2\\\Rightarrow I=\dfrac{1}{2}250\times 0.75^2\\\Rightarrow I=70.3125\ kgm^2$

Angular acceleration is given by

$\alpha=\dfrac{\tau}{I}\\\Rightarrow \alpha=\dfrac{50}{70.3125}\\\Rightarrow \alpha=0.71\ rad/s^2$

Time taken is given by

$t=\dfrac{\omega}{\alpha}\\\Rightarrow t=\dfrac{1200\times \dfrac{2\pi}{60}}{0.71}\\\Rightarrow t=176.99113\ s$

The time it takes for the flywheel to reach top angular speed is 176.99113 seconds

Kinetic energy is given by

$K=\dfrac{1}{2}I\omega^2\\\Rightarrow K=\dfrac{1}{2}70.3125\times (1200\times \dfrac{2\pi}{60})^2\\\Rightarrow K=555165.24756\ J$

The energy is stored in the flywheel is 555165.24756 J

Answer from: Quest

depends on what you mean by "group." for order, it would be coleoptera (beetles). for class, it would be insecta (insects). for phylum, it would be the arthropoda (animals with jointed exoskeletons).

explanation:

Answer from: Quest

force is based upon mass and acceleration.the statement is not always true.

it can be explained from newton's second law of motion.

as per newton's second law of motion the rate of change of momentum is directly proportional to the applied force and takes place along the direction of force.

mathematically it can be written as -

$f\alpha \frac{dp}{dt}$

⇒ $f= k \frac{dp}{dt}$

here k is the proportionality constant whose value is 1.

$f=\frac{dp}{dt}$

$f= \frac{d[mv]}{dt}$

$f= m\frac{dv}{dt} +v\frac{dm}{dt}$

$f=ma+v\frac{dm}{dt}$ [a is the acceleration=dv/dt]

hence we see that force not only depends on mass and acceleration but also on velocity and rate of change of mass. force f will depend on mass and acceleration only when mass is constant.

hence the statement that force is based upon mass and acceleration is false.

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Flywheels are large, massive wheels used to store energy. they can be spun up slowly, then the wheel...

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