Respuesta :
Answer:
t = 300 s or 5 min or 0.0833 hours
Explanation:
Power = Energy/time or work/time.
P = E/t ............... Equation 1
Make t the subject of the equation
t = E/P .................. Equation 2
Where t = time, E = Work done by the electric motor, P = electric power of the motor.
Given: E = 1.5×10⁵ J, P = 500 W
Substitute into equation 2
t = 1.5×10⁵/500
t = 300 seconds
or
t = 300/60 = 5 min.
or
t = 0.0833 hours
Hence the time it would take = 300 s or 5 min or 0.0833 hours
The number of time it takes this electric motor to perform a work is 300 seconds.
Given the following data:
- Power = 500 Watts
- Work done = [tex]1.50 \times 10^5\;Joules[/tex]
To determine the number of time it takes an electric motor to perform a work:
Mathematically, the power consumed in performing a work is given by:
[tex]Power = \frac{W}{t}[/tex]
Where:
- W is the work done measured in Joules.
- t is the time measured in seconds.
Making t the subject of formula, we have:
[tex]t = \frac{Work\;done}{Power}[/tex]
Substituting the given parameters into the formula, we have;
[tex]t=\frac{1.50 \times 10^5\;Joules}{500}[/tex]
Time, t = 300 seconds.
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