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Elina [12.6K]
3 years ago
8

If you placed a cylinder with a 0.25 m radius in the middle of a record player that spins at 4.7 rad/s, what is its angular mome

ntum? The cylinder has a mass of 2.0 kg.
Physics
1 answer:
podryga [215]3 years ago
7 0

Answer:

0.29 kg m² / s

Explanation:

Angular momentum is the product of moment of inertia and angular velocity.

L = I ω

For a solid cylinder, I = ½ m r².

L = ½ m r² ω

L = ½ (2.0 kg) (0.25 m)² (4.7 rad/s)

L = 0.29 kg m² / s

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Explanation:

First we will convert the given mass from lb to kg as follows.

        157 lb = 157 lb \times \frac{1 kg}{2.2046 lb}

                   = 71.215 kg

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Convert the % of (w/w) into % (w/v) as follows.

      0.65% (w/w) = \frac{0.65 g}{100 g}

                           = \frac{0.65 g}{(\frac{100 g}{1.0 g/ml})}

                           = \frac{0.65 g}{100 ml}

Therefore, calculate the volume which contains the amount of caffeine as follows.

   12818.7 mg = 12.8187 g = \frac{12.8187 g}{\frac{0.65 g}{100 ml}}

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