A solid disk, spinning counter-clockwise, has a mass of $1 k g$ $1 kg$ and a radius of $3 m$ $3 m$ . If a point on the edge of the disk is moving at $9 \frac{m}{s}$ $9 m/s$ in the direction perpendicular to the disk's radius, what is the disk's angular momentum and velocity?

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A solid disk, spinning counter-clockwise, has a mass of $1 k g$ $1 kg$ and a radius of $3 m$ $3 m$ . If a point on the edge of the disk is moving at $9 \frac{m}{s}$ $9 m/s$ in the direction perpendicular to the disk's radius, what is the disk's angular momentum and velocity?

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Answer 1 · 2016-05-14T13:20:04

Angular Momentum $L = 13.5 k g \cdot \frac{m^{2}}{second}$ $L=13.5" "kg*m^2/("second")$
Angular Velocity $ω = 3 \frac{r a d}{sec}$ $omega=3" "(rad)/sec$

Explanation:

Angular Momentum $L = I \cdot ω$ $L=I*omega$

where $I = \frac{1}{2} \cdot m r^{2}$ $I=1/2*mr^2" "$ Moment of inertia

$I = \frac{1}{2} \cdot (1) (3^{2}) = 4.5 k g \cdot m^{2}$ $I=1/2*(1)(3^2)=4.5" "kg*m^2$

Angular Velocity

$ω = \frac{v}{r}$ $omega=v/r$

$ω = \frac{9}{3} = 3 \frac{r a d i a n}{second}$ $omega=9/3=3" "(radian)/("second")$

Angular Momentum
$L = I \cdot ω$ $L=I*omega$

$L = 4.5 \cdot 3 = 13.5 K g \cdot \frac{m^{2}}{sec}$ $L=4.5*3=13.5" "Kg*m^2/sec$

God bless....I hope the explanation is useful.

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A solid disk, spinning counter-clockwise, has a mass of $1 k g$ $1 kg$ and a radius of $3 m$ $3 m$ . If a point on the edge of the disk is moving at $9 \frac{m}{s}$ $9 m/s$ in the direction perpendicular to the disk's radius, what is the disk's angular momentum and velocity?

1 Answer

Explanation:

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A solid disk, spinning counter-clockwise, has a mass of 1kg1 kg and a radius of 3m3 m. If a point on the edge of the disk is moving at 9ms9 m/s in the direction perpendicular to the disk's radius, what is the disk's angular momentum and velocity?

1 Answer

Explanation:

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Impact of this question

A solid disk, spinning counter-clockwise, has a mass of $1 k g$ $1 kg$ and a radius of $3 m$ $3 m$ . If a point on the edge of the disk is moving at $9 \frac{m}{s}$ $9 m/s$ in the direction perpendicular to the disk's radius, what is the disk's angular momentum and velocity?