Find the unit and dimensional formula of the universal gravitational constant
Step1: Calculating the dimensional formula of force
Acceleration is the rate of change of velocity with time so, we can say that
Here velocity is divided by time again we will substitute the dimensional formulas of velocity band time to get the dimensional formula for acceleration
Force is defined as the mass time of acceleration so,
Step 2: Calculating dimensional formula of universal gravitational constant
The gravitation constant is the proportionality constant that was used in Newton's law of gravitation.
On substituting equation () in equation () we get
Hence, the unit of universal gravitational constant is and the dimensional of universal gravitational constant is .