Why Are Units and Significant Figures Crucial in Scientific Calculations?

[XTEND]

Interpreting Results?

Homework Statement

A student recently submitted a homework solution in which he or she had calculated
an angular velocity w = 0.0002 rad/s (for a satellite going around the Earth.) The
student then found the period by using T = rad /w = 31415.92 seconds. Describe why
both answers are unacceptable. This is not about any formulae — it is about the
results that are given. (Your discussion should contain 4 or 5 sentences at the least.)

Homework Equations

N/A

The Attempt at a Solution

I think scentific notation should be applied, but other than that? Not sure what they want.

TIA

 

[rl.bhat]

When a satellite going around the Earth, the centripetal force is provided by the gravitational froce of Earth on the satellite.
Hence m*w^2*R = GMm/R^2. Where R is the radius of the Earth and M is the mass of the earth. Where close to the Earth GM = gR^2 where g s the acceleration due to gravity. Using these values calculate w. and verify the result with the given value.