Correct Answer - Option 3 : 10π
Concept:
Power is given by;
\(% MathType!Translator!2!1!AMS LaTeX.tdl!AMSLaTeX! % MathType!MTEF!2!1!+- % feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8 % qacaWGqbGaeyypa0ZaaSaaa8aabaWdbiaaikdacqaHapaCcaWGobGa % amivaaWdaeaapeGaaGOnaiaaicdaaaaaaa!3DDF! P = \frac{{2π NT}}{{60}}\)\(P = \frac{{2\pi NT}}{{60}}\)
Where P is in watt
N = Angular velocity
T = Torque
Calculation:
1 H.P. = 745.7 watt
Given;
N = 150 rpm
T = 1500 N.m
So from the above equation;
\(P = \frac{{2π \times 150 \times 1500}}{{60}}\)
P = 7500π watt
\(P = \frac{{7500π }}{{745.7}}\) H.P.
P = 10π H.P.
