Question
Download Solution PDFIn a brake test, the DC motor took 20 A from a 200 V supply mains. The brake pulley of radius 10 cm had an effective load of 20 kg and the speed was 10 rps. The value of BHP (in metric) is _______.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept
The torque produced by the motor is given by:
T = W × r × g
where, W = Load on pulley
r = Radius of pulley
g = acceleration due to gravity = 9.81 m/s
The mechanical power in watts is given by:
P = 2π × N × T
where, N is in revolutions per second and T is in Nm
∵ 1 BHP (Metric) = 735.5 watts
∴ \(BHP \space (metric)={P\over 735.5}BHP\space(metric)\)
Calculation
Given, Current (I) = 20 A
Voltage (V) = 200 V
Radius of brake pulley (r) = 10 cm = 0.1 m
Effective load (W) = 20 kg
Speed (N) = 10 rps = 10 × 60 = 600 rpm
T = 20 × 0.1 × 9.8
T = 19.62 Nm
P = 2π × 10 × 19.62 = 1233.67 watts
\(BHP \space (metric)={1233.67\over 735.5}BHP\space(metric)\)
BHP (in metric) = 0.5 π
Last updated on Jun 16, 2025
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