Calculate the centripetal force on a 2100kg car rounding a curve of 175m radius at speed of 60kph
Velocity ( speed ) = 60 km / h = 60 000 m / 3 600 s =
1 200 ∙ 50 m / 1 200 ∙ 3 s = 50 / 3 m / s
Fc in terms of mass, radius and velocity:
Fc = m v² / r
Fc = 2 100 ∙ ( 50 / 3 )² / 175 = ( 2 100 ∙ 2 500 / 9 ) / 175 =
( 5 250 000 / 9 ) / 175 = 5 250 000 / 9 ∙ 175 = 5 250 000 / 1 575
= 525 ∙ 10 000 / 525 ∙ 3 = 10 000 / 3 kg m / s² = 10 000 / 3 N = 3 333.333... N
To calculate the centripetal force on a car rounding a curve, you need to use the formula:
F = (m * v^2) / r
where:
F is the centripetal force
m is the mass of the car
v is the velocity of the car
r is the radius of the curve
First, let's convert the speed from kilometers per hour (kph) to meters per second (m/s).
1 kilometer = 1000 meters
1 hour = 3600 seconds
Therefore, the speed of the car in meters per second (m/s) is:
v = 60 kph * (1000 m / 1 km) * (1 hour / 3600 seconds)
v ≈ 16.67 m/s
Now we can substitute the known values into the formula:
F = (2100 kg * (16.67 m/s)^2) / 175 m
Calculating the result:
F = (2100 * 277.89) / 175
F ≈ 3324.86 N
Therefore, the centripetal force on the car rounding a curve with a radius of 175m at a speed of 60kph is approximately 3324.86 Newtons.