What would be the time period of rotation of earth so that the bodies at the equator would weight `40%` of their actual weight?
Text Solution
AI Generated Solution
To find the time period of rotation of the Earth such that bodies at the equator would weigh 40% of their actual weight, we can follow these steps:
### Step 1: Understand the relationship between weight and acceleration due to gravity
Let the actual weight of a body be \( mg \), where \( m \) is the mass of the body and \( g \) is the acceleration due to gravity. According to the problem, the weight at the equator is \( mg' = 0.4 mg \).
### Step 2: Set up the equation for weight at the equator
From the information given, we can express the weight at the equator as:
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