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An engine develops a power of 360 kw, when rotating at 30 revolutions per second. The Torque required to deliver this power is
- a)191.08 Nm
- b)19108 Nm
- c)1910.8 Nm
- d)19.108 Nm
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
An engine develops a power of 360 kw, when rotating at 30 revolutions ...
The power delivered by the torque τ exerted on rotating body is given by
P=τω or τ=P/ω
Here P=360KW=360000 Watt
ω=30 x 2π rad/sec,
ω=60π rad/sec
now,
τ=360000 /60×3.14Nm
τ= 1910.8 Nm
P=τω or τ=P/ω
Here P=360KW=360000 Watt
ω=30 x 2π rad/sec,
ω=60π rad/sec
now,
τ=360000 /60×3.14Nm
τ= 1910.8 Nm
Most Upvoted Answer
An engine develops a power of 360 kw, when rotating at 30 revolutions ...
The power delivered by the torque τ exerted on rotating body is given by
P=τω or τ=P/ω
Here P=360KW=360000 Watt
ω=30 x 2π rad/sec,
ω=60π rad/sec
now,
τ=360000 /60×3.14Nm
τ= 1910.8 Nm
P=τω or τ=P/ω
Here P=360KW=360000 Watt
ω=30 x 2π rad/sec,
ω=60π rad/sec
now,
τ=360000 /60×3.14Nm
τ= 1910.8 Nm
Community Answer
An engine develops a power of 360 kw, when rotating at 30 revolutions ...
Understanding Power and Torque
To calculate torque from power and rotational speed, we can use the formula:
Torque (T) = Power (P) / Angular Velocity (ω)
Converting Power
- Given power (P) = 360 kW = 360,000 W
Calculating Angular Velocity
- Rotational speed (N) = 30 revolutions per second
- Angular velocity (ω) in radians per second is calculated as:
Calculating Torque
- Now, substituting the values into the torque formula:
Conclusion
Thus, the torque required to deliver this power is approximately 1910.8 Nm. Therefore, the correct answer is option 'C'.
To calculate torque from power and rotational speed, we can use the formula:
Torque (T) = Power (P) / Angular Velocity (ω)
Converting Power
- Given power (P) = 360 kW = 360,000 W
Calculating Angular Velocity
- Rotational speed (N) = 30 revolutions per second
- Angular velocity (ω) in radians per second is calculated as:
- ω = 2πN
- ω = 2π × 30 = 60π rad/s
- ω ≈ 188.5 rad/s
Calculating Torque
- Now, substituting the values into the torque formula:
- T = P / ω
- T = 360,000 W / (60π rad/s)
- T ≈ 360,000 / 188.5
- T ≈ 1910.8 Nm
Conclusion
Thus, the torque required to deliver this power is approximately 1910.8 Nm. Therefore, the correct answer is option 'C'.
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