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lana66690 [7]
3 years ago
8

An electric motor and a single-fixed pulley work together to lift a 500 kg crate 50.0 m. How much work was done?

Physics
2 answers:
tamaranim1 [39]3 years ago
8 0

Answer : Work done, W = 245,000 J

Explanation :

It is given that,

Mass of the system, m = 500 kg

Distance, d = 50 m

According to the definition of work done, W=force\times displacement

So, work done to lift the system of electric motor and a pulley is :

W=mg\times h

W=500\ kg\times 9.8\ m/s^2\times 50\ m

W=245,000\ J

Hence, this is the required solution.

tester [92]3 years ago
3 0

Answer: The work done is 245000 J.  

Explanation:  

The formula for the force due to the weight of the object is as follows;

F=mg

Here, m is the mass of the object and g is the acceleration due to gravity.

Put m=500 kg and g=9.8 meter per second.

F=(500)(9.8)

F=4900 N

The formula for the work done is as follows;

W=Fs

Here, F is the force and s is the displacement.

Put F=4900 N and s=50.0 m.

W=(4900)(50)

W=245000 J

Therefore, the work done is 245000 J.

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A constant torque of 3 Nm is applied to an unloaded motor at rest at time t = 0. The motor reaches a speed of 1,393 rpm in 4 s.
irakobra [83]

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 (\tau), measured in Newton-meters, is:

\tau = I\cdot \alpha (1)

Where:

I - Moment of inertia, measured in Newton-meter-square seconds.

\alpha - Angular acceleration, measured in radians per square second.

If motor have an uniform acceleration, then we can calculate acceleration by this formula:

\alpha = \frac{\omega - \omega_{o}}{t} (2)

Where:

\omega_{o} - Initial angular speed, measured in radians per second.

\omega - Final angular speed, measured in radians per second.

t - Time, measured in seconds.

If we know that \tau = 3\,N\cdot m, \omega_{o} = 0\,\frac{rad}{s }, \omega = 145.875\,\frac{rad}{s} and t = 4\,s, then the moment of inertia of the motor is:

\alpha = \frac{145.875\,\frac{rad}{s}-0\,\frac{rad}{s}}{4\,s}

\alpha = 36.469\,\frac{rad}{s^{2}}

I = \frac{\tau}{\alpha}

I = \frac{3\,N\cdot m}{36.469\,\frac{rad}{s^{2}} }

I = 0.0823\,N\cdot m\cdot s^{2}

The moment of inertia of the motor is 0.0823 Newton-meter-square seconds.

5 0
2 years ago
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