Practice question
Question
A 0.3 kg stone is whirled in a horizontal circle of radius 1.6 m at 45 rev/min . What is the tension? (Take g = 10 m/s² )
Explanation
Given:
A 0.3 kg stone is whirled in a horizontal circle of radius 1.6 m at 45 rev/min . What is the tension? (Take g = 10 m/s² )
These values define the system as per NCERT data.
Formula:
Angular speed: omega = 45 × 2π/60 = 3π/2 rad/s.
This is standard NCERT relation.
Substitution & Calculation:
omega² = (3π/2)² = 9π²/4 approx 22.21 . Tension: T = m omega² r = 0.3 × 22.21 × 1.6 . T approx 0.3 × 22.21 × 1.6 approx 10.66 N .
Result:
The computed value matches expected outcome and confirms correct choice as per NCERT.
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