An equation for the period of a planet is 4 pie² r³/Gm where T is in secs, r is in meters, G is in m³/kgs² m is in kg, show that the equation is dimensionally correct.​

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The unit of both sides of this equation are .

Explanation:

The unit of the left-hand side is , same as the unit of .

The following makes use of the fact that for any non-zero value , the power is equivalent to .

On the right-hand side of this equation:

.

Hence, the unit on the right-hand side of this equation is also .

from

explanation:

wind is defined by the direction it blows from.   for example, a wind blowing from north to south is called a northerly wind.

force is mass*acceleration.

we have a very small mass: 11.4*0.001 kg

if we want 0.035n of force, we need an acceleration:

0.035 = 11.4*0.001*a

a = 0.035/(11.4*0.001) m/s^2