calculate,in terms of weight of 1kg, the force necessary to maintain a body of mass 147kg in uniform speed of 10m/s in a circle of radius 5m
To calculate the force necessary to maintain a body of mass 147kg in uniform speed in a circular motion, we need to use the formula for centripetal force.
The centripetal force (Fc) is given by the equation:
Fc = (m * v^2) / r
Where:
- Fc is the centripetal force
- m is the mass of the object (147kg in this case)
- v is the velocity or speed of the object (10m/s in this case)
- r is the radius of the circular path (5m in this case)
Plugging in the given values into the formula, we get:
Fc = (147kg * (10m/s)^2) / 5m
Simplifying the equation, we have:
Fc = (147kg * 100m^2/s^2) / 5m
= 14,700kg * m/s^2
Therefore, the force necessary to maintain the body in circular motion is 14,700 kg * m/s^2.
Note: The unit "kg * m/s^2" is equivalent to the unit of force, which is called a Newton (N). So, the force is 14,700 N.