### Home > INT2 > Chapter 7 > Lesson 7.2.2 > Problem7-95

7-95.

Rewrite each of the following equations as indicated.

1. The force of gravity, $F$, between two masses, $m$ and $M$, for a given distance, $r$, is given by the formula: $F =\frac { G m M } { r ^ { 2 } }$, where $G$ is the gravitational constant. Solve this formula for $r$.

First multiply by $r^2$ to undo the fraction.

2. The amount of torque, $t$, for a given amount of force, $F$, at a given distance, $r$, and over a certain angle, $θ$, can be calculated by the formula: $t = rF$ sin$θ$. Solve this formula for $θ$.

You will need to use sin$-1$$(θ)$.