Answer :
Final answer:
The angular momentum of a 2 kg disc with an 80 cm radius rotating clockwise at 4 rad/s is calculated as 2.56 kg·m²/s, which is not listed in the provided options.
Explanation:
The question asks for the calculation of a disc's angular momentum. Angular momentum (L) can be calculated using the formula L = Iω, where I is the moment of inertia and ω (omega) is the angular speed. The moment of inertia for a disc is I = 0.5mr², where m is the mass and r is the radius.
Given:
- Mass (m) = 2 kg
- Radius (r) = 80 cm = 0.8 m
- Angular speed (ω) = 4 rad/s
First, we calculate the moment of inertia:
I = 0.5 × 2 kg × (0.8 m)² = 0.5 × 2 × 0.64 kg·m² = 0.64 kg·m²
Then, calculate the angular momentum:
L = Iω = 0.64 kg·m² × 4 rad/s = 2.56 kg·m²/s
However, this value is not listed in the options provided. Given the options a) 16 kg m²/s, b) 32 kg m²/s, c) 64 kg m²/s, and d) 128 kg m²/s, it appears there might be a mistake as none of these values are correct based on the values provided in the question.
