Question

What is the power transmitted by a 100 mm diameter soild shaft at 150 rpm without exceeding a maximum stress of $60N/m{m}^2$?

• A. 187.5 kW
• B. 18.75 kW
• C. 1.875 kW
• D. 1875 kW

Answer 1

The correct option is A 187.5 kW

$\tau =\frac{T}{J}r$

$\Rightarrow T=\frac{\tau J}{r}$

$\Rightarrow T=\frac{\tau \times \frac{\pi }{32}{d}^4}{\frac{d}{2}}=\frac{\tau \times \pi d^3}{16}$

$\because P=T\omega$

$=\tau \times \frac{\pi d^3}{16}\times \frac{2\pi N}{60}\times {10}^{-3}kW$

$\therefore P=\frac{60\times \pi \times (100{)}^3\times 2\times \pi \times 150}{16\times 60}$

$\therefore P=187.5kW$