A car cruises at a steady 30 m/s on a level road while its engine delivers 60 kW.
How large is the driving force?
Start with the numbers: P = 60 kW, which is 60000 W, and v = 30 m/s.
60000 ÷ 30 = 2000. The driving force is 2000 N.
That move is P = Fv solved for the force: F = P/v.
P = Fv rearranges for either unknown.
To find the force: F = P/v.
To find the speed: v = P/F.
A power given in kilowatts converts first: multiply by 1000 to get watts.
A car's engine delivers 60 kW at a steady 30 m/s. Calculate the driving force.
Write down the values in the question:
P = 60 kW = 60000 W, v = 30 m/s; F = ?
Write down the arrangement whose unknown stands alone:
F = P/v
Substitute in the values, and calculate:
F = 60000 ÷ 30 = 2000
The driving force is 2000 N.
A cargo drone's rotors deliver 3000 W of driving power at a steady 12 m/s. Enter the constant driving force, in N.
A winch rated 1400 W reels a line in with a constant 200 N force, parallel to the motion. Calculate the line's steady speed.
Write down the values in the question:
P = 1400 W, F = 200 N; v = ?
Write down the arrangement whose unknown stands alone:
v = P/F
Substitute in the values, and calculate:
v = 1400 ÷ 200 = 7
The line moves at a steady 7 m/s.
A tow truck's winch delivers 5600 W through a cable that applies a constant 700 N force, parallel to the motion. Enter the cable's steady speed, in m/s.
An electric van's motor delivers 10800 W at a steady 24 m/s. Enter the driving force, in N.
A harvester's engine delivers 9000 W of driving power while the driving force holds at a constant 600 N. Enter the harvester's steady speed, in m/s.
A motorboat's propeller delivers 52000 W as the boat holds a steady 20 m/s. Enter the driving force, in N.
An airport baggage tug delivers 3150 W while its drive wheels apply a constant 350 N force. Enter the tug's steady speed, in m/s.