Centripetal Force & Acceleration
"Centripetal" means "seeking the centre" … it comes from the Latin word peto (I seek)
Working out centripetal Force
Question:
A body of mass 5kg is rotating in a horizontal plane at the end of a steel wire with an angular speed of 100 RPM. The distance from the centre of rotation to the centre of the mass is 2 metres. Calculate the centripetal force acting on the steel wire.
Finding the centripetal force
Mass: 5kg
Angular Speed: 100 RPM (10.47 Rad/s)
Length: 2M
You will need the following equation:
Step 1: Convert RPM to Radians/s
1RPM = 2π/60
Therefore to get your RPM into Radians/s simply multiply your RPM speed by 2π/60.
100RPM x 2π/60 = 10.47 Rad/s
Step 2: Work out the angular volocity
Angular velocity can be worked out by squaring the angular speed.
ω² = 10.47²
ω² = 109.62 rad/s
Step 3: Obtaining the centripetal force
Using the equation we can now work out the centripetal force
F = 5kg x 109.62 x 2
Answer: F = 1096.2 kgm/s²
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