Question

An electric motor has an out put power of 2400W and is used to raise a ships anchor .If the tension in the cable is 8KN at what constant speed is the anchor being raised

Answer 1

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\tt{\therefore{Velocity=0.3\:m/s}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{\underline \bold{Given :}} \\ \tt: \implies Power \: of \: electric \: motor = 2400 \: W \\ \\ \tt: \implies Tension \: in \: cable = 8 \: KN \\ \\ \red{\underline \bold{To \: Find:}} \\ \tt: \implies Speed \: of \: anchor =?$

• According to given question :

$\bold{As \: we \: know \: that} \\ \tt: \implies Power = \frac{Work}{ \Delta T} \\ \\ \tt: \implies Power = \frac{Force \times Displacement}{\Delta T} \\ \\\tt: \implies Power = Force \times \frac{Displacement}{\Delta T} \\ \\ \tt: \implies Power = Force \times Velocity \\ \\ \tt: \implies 2400 = 8000 \times Velocity \\ \\ \tt: \implies velocity = \frac{2400}{8000} \\ \\ \green{\tt: \implies Velocity = 0.3 \: m/s} \\ \\ \green{\tt \therefore Velocity \: of \: anchor \: raised \: is \: 0.3 \: m/s}$