Respuesta :
Answer:
power = 20943.95 watts
power = 28.086 horsepower
Explanation:
given data
torque = 200 N
speed = 1000 rpm
to find out
What is the mechanical power in watts and horse power
solution
we know that mechanical power formula that is
power = torque × speed ...................1
here we have given both torque and speed
we know speed = 1000 rpm = [tex]\frac{2* \pi *1000}{60}[/tex] = 104.66 rad/s
so put here value in equation 1
power = 200 × 104.719
power = 20943.95 watts
and
power = [tex]\frac{20943.95}{745.7}[/tex]
power = 28.086 horsepower
Answer:
Part 1) Power required for motor = 20944 watts.
Part 2) Power required for motor in Horsepower equals = 28.075H.P
Explanation:
Power is defined as the rate of consumption of energy. For rotational motion power is calculated as
[tex]Power=Torque\times \omega[/tex]
where,
[tex]\omega [/tex] is the angular speed of the motor.
Since the rotational speed of the motor is given as 1000 rpm, the angular speed is calculated as
[tex]\omega =\frac{N}{60}\times 2\pi[/tex]
where,
'N' is the speed in rpm
Applying the given values we get
[tex]\omega =\frac{1000}{60}\times 2\pi=104.72rad/sec[/tex]
hence the power equals
[tex]Power=200\times 104.72=20944Watts[/tex]
Now since we know that 1 Horse power equals 746 Watts hence 20944 Watts equals
[tex]Power_{H.P}=\frac{20944}{746}=28.075H.P[/tex]
