Concept:The car's forward linear speed is perfectly equal to the tangential velocity of its tires' outer edge (assuming no slipping). We must convert units to SI before finding the angular speed.
Formula:$$ v = r\omega \implies \omega = \frac{v}{r} $$
Solution:- First, convert km/hr to m/s: \( 36 \times \frac{1000 \text{ m}}{3600 \text{ s}} = 10 \text{ m/s} \).
- Given radius \( r = 0.5 \text{ m} \).
- Substitute into the formula: \( \omega = \frac{10}{0.5} \).
- Dividing by a half is the same as multiplying by 2, yielding \( 20 \text{ rad/sec} \).
Why other options are incorrect:- Option A results from incorrectly multiplying 10 by 0.5 instead of dividing.
- Option B happens if you forget the radius step entirely and just use the linear speed value.
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