← Power and the energy ledger

Calculate power from work and time

A hoist motor does 3000 J of work raising a pallet, and the lift takes 60 s.

What is the motor's power?

Start with the numbers: W = 3000 J, t = 60 s.

3000 ÷ 60 = 50. The motor transfers 50 J each second: its power is 50 W.

Step 1: the values, unknown markedquantityvalueW3000 Jt60 sP?
Step 1: write down the values, and mark the unknown.

That move is the equation you have: P = W/t.

Finding a power is a routine, and the same three steps work every time.

Step 1: write down the values in the question, and mark the unknown.

Step 2: write down the equation.

Step 3: substitute in the values, and calculate. The result line carries its unit: watts.

Steps 2 and 3: equation, then substitutionsteplineequationP = W/tsubstituteP = 3000 ÷ 60resultP = 50 W
Steps 2 and 3: the equation, then P = 50 W.
Every case here gives the work done and the time taken; with work in joules and time in seconds, the power comes out in watts.

A hoist motor does 3000 J of work in 60 s. Calculate its power.

Write down the values in the question:

W = 3000 J, t = 60 s; P = ?

Write down the equation:

P = W/t

Substitute in the values, and calculate:

P = 3000 ÷ 60 = 50

The motor's power is 50 W.

A window motor does 500 J of work closing a skylight in 20 s. Enter the motor's power in watts.

A conveyor motor does 1600 J of work moving boxes in 20 s. Calculate its power.

Write down the values in the question:

W = 1600 J, t = 20 s; P = ?

Write down the equation:

P = W/t

Substitute in the values, and calculate:

P = 1600 ÷ 20 = 80

The conveyor motor's power is 80 W.

An electric screwdriver does 420 J of work driving screws in 12 s. Enter its power in watts.

A garage-door motor does 1800 J of work raising the door in 40 s. Enter its power in watts.

Your turn

A crane motor does 9000 J of work raising a beam at a steady pace, and the lift takes 120 s. Enter the motor's power in watts.

A toy hoist does 540 J of work lifting a bucket of marbles, taking 36 s for the lift. Enter the hoist's power in watts.

An attic fan's motor does 6600 J of work on the air during a 120 s run. Enter the motor's power in watts.