Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 11

# Div » P a Body is Weighed by a Spring Balance to Be 1.000 Kg at the North Pole. How Much Will It Weigh at the Equator? Account for the Earth'S Rotation Only. - Physics

Sum

A body is weighed by a spring balance to be 1.000 kg at the North Pole. How much will it weigh at the equator? Account for the earth's rotation only.

#### Solution

Let gp be the acceleration due to gravity at the poles.
Let ge be the acceleration due to gravity at the equator.

Now, acceleration due to gravity at the equator is given by ge = gp $-$ ω2r
= 9.81 − (7.3 × 10−5)2 × 6400 × 103
= 9.81 − (53.29 × 10−10) × 64 × 105
= 9.81 − 0.034 = 9.776 m/s2
Now, mge = 1 kg × 9.776 m/s2
= 9.776 N
∴ The body will weigh 9.776 N at the equator.

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#### APPEARS IN

HC Verma Class 11, 12 Concepts of Physics 1
Chapter 11 Gravitation
Q 25 | Page 227