Question

1. A fly wheel (disc form) of mass 50 kg and diameter 100 cm is making 150
revolutions/min. What will be the angular momentum of flywheel?​

Answer 1

Answer:

62.5 kgm²/s

Explanation:

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Answer 2

Given:-

• Mass of a flywheel (disc form), m = 50 kg
• diameter of flywheel = 100 cm; radius, r = 50 cm = 1/2 m
• angular velocity of flywheel, ω = 150 revolutions/min

To find:-

• Angular momentum of flywheel, L =?

Formulae required:-

• Formula for angular momentum (for body rotating about an fixed point)

        L = I ω

• Formula for moment of inertia (for circular disc about an axis)

        I = mr²/2  

[ Where L is angular momentum, I is moment of inertia, ω is angular velocity, m is mass and r is radius ]

Solution:-

Converting the angular velocity into rad/sec

→ ω = 150 Rev/min

→ ω = 150 × 2π/60 = 5π Rad/sec

Calculating the moment of inertia of disc

→ I = m r²/2

→ I = 50 × (1/2)²/2

→ I = 25/4  kg m²

Calculating the angular momentum of flywheel (disc)

→ L = I ω

→ L = (25/4) × 5π

→ L = 98.175 kg m²/s

Therefore,

• Angular momentum of flywheel would be 98.175 kg m²/s approximately.