A scooter develops a power of 1HP while running at 361exkm- -1exh- Calculate the force generated by its engine-

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Efficiency of Machines

A scooter dev...

Question

A scooter develops a power of $1 H P$ while running at $36 \frac{k m}{h}$ . Calculate the force generated by its engine.

Open in App

Solution

Step 1: Given data,
Power = $1 H P$
Velocity = $36 \frac{k m}{h}$
$1 H P = 750 w a t t s$
Step 2: To calculate Force,
Formula used: $p o w e r = \frac{w o r k}{t i m e}$
$p o w e r = \frac{f o r c e \times d i s p l a c e m e n t}{t i m e} = f o r c e \times \frac{d i s p l a c e m e n t}{t i m e}$
$p o w e r = f o r c e \times v e l o c i t y$
Step 3: Conversion,
To convert $\frac{k m}{h}$ into $\frac{m}{s}$
$1 \frac{k m}{h} = \frac{5}{18} \frac{m}{s}$
$36 \frac{k m}{h} = 36 \times \frac{5}{18} \frac{m}{s = 10 \frac{m}{s}}$
To convert $H P$ into $w a t t s$
$1 H P = 750 w a t t s$
Step 4: Calculate the value of force,
$p o w e r = f o r c e \times v e l o c i t y$
$750 = f o r c e \times 10$
$f o r c e = \frac{750}{10}$ $= 75 N$
Therefore, $75 N$ force is generated by the engine.

Suggest Corrections

Similar questions

A load of $220 k g$ is vertically pulled up by a crane through a vertical height of $16 m$ in $40 s$ .the Calculate horsepower of the engine pulling the rope.

[Take g= $9.8 \frac{m}{s^{2}}$ $1 H P = 750 W$ ]

A motorcyclist drives from A to B with a uniform speed of $30 \frac{k m}{h}$ and returns back with a speed of $20 \frac{k m}{h}$ . Find its average speed.

Calculate the time for which a motor pump of $10 H P$ and efficiency $80 %$ must be switched on, so as to pump $20 m^{3}$ of water through a vertical height of $20 m$ . [Density of water = $\frac{1000 k g}{m^{3}}$ , $g = \frac{10 m}{s^{2}}$ , $1 H P = 750 W$ ]

The engine of a car develops a power of $5 H P$ and force $500 N$ while running a uniform speed S. Calculate the value of S.

An engine in an automobile can develop a power of $4 H P .$ If the force developed by the engine is $250 N,$ Find the uniform velocity at which the automobile is moving. Take $[1 H P = 750 W]$ .

Join BYJU'S Learning Program

A scooter develops a power of 1HP while running at 36kmh. Calculate the force generated by its engine.

A scooter develops a power of $1 H P$ while running at $36 \frac{k m}{h}$ . Calculate the force generated by its engine.