A solid disk, spinning counter-clockwise, has a mass of $5 k g$ $5 kg$ and a radius of $4 m$ $4 m$ . If a point on the edge of the disk is moving at $7 \frac{m}{s}$ $7 m/s$ in the direction perpendicular to the disk's radius, what is the disk's angular momentum and velocity?

Question

A solid disk, spinning counter-clockwise, has a mass of $5 k g$ $5 kg$ and a radius of $4 m$ $4 m$ . If a point on the edge of the disk is moving at $7 \frac{m}{s}$ $7 m/s$ in the direction perpendicular to the disk's radius, what is the disk's angular momentum and velocity?

1 Answer

Impact of this question

1381 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-12-18T08:03:54

The angular momentum is $L = (140 π) k g m^{2} s^{- 1}$ $L=(140pi) kgm^2s^(-1)$
The angular velocity is $ω = (\frac{7}{2} π) r a d s^{- 1}$ $omega=(7/2pi) rads^(-1)$

Explanation:

The angular velocity is $ω = \frac{v}{r}$ $omega=v/r$

$v = 7 m s^{- 1}$ $v=7ms^(-1)$

$r = 4 m$ $r=4m$

So,

$ω = \frac{7}{4} \cdot 2 π r a d s^{- 1} = \frac{7}{2} π r a d s^{- 1}$ $omega=7/4*2pi rads^(-1)=7/2pi rads^(-1)$

The angular momentum is $L = I ω$ $L=Iomega$

Where,

$I =$ $I=$ moment of inertia

For a solid disc, $I = \frac{1}{2} m r^{2}$ $I=1/2mr^2$

$I = \frac{1}{2} \cdot 5 \cdot 4 \cdot 4 = 40 k g m^{2}$ $I=1/2*5*4*4=40 kgm^2$

The angular momentum is

$L = I ω = 40 \cdot \frac{7}{2} π k g m^{2} s^{- 1}$ $L=Iomega=40*7/2pikgm^2s^(-1)$

$L = 140 π k g m^{2} s^{- 1}$ $L=140pi kgm^2s^(-1)$

Science

Math

Humanities

... and beyond

A solid disk, spinning counter-clockwise, has a mass of $5 k g$ $5 kg$ and a radius of $4 m$ $4 m$ . If a point on the edge of the disk is moving at $7 \frac{m}{s}$ $7 m/s$ in the direction perpendicular to the disk's radius, what is the disk's angular momentum and velocity?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

A solid disk, spinning counter-clockwise, has a mass of 5 kg5kg5 kg and a radius of 4 m4m4 m. If a point on the edge of the disk is moving at 7 m/s7ms7 m/s in the direction perpendicular to the disk's radius, what is the disk's angular momentum and velocity?

1 Answer

Explanation:

Related questions

Impact of this question

A solid disk, spinning counter-clockwise, has a mass of $5 k g$ $5 kg$ and a radius of $4 m$ $4 m$ . If a point on the edge of the disk is moving at $7 \frac{m}{s}$ $7 m/s$ in the direction perpendicular to the disk's radius, what is the disk's angular momentum and velocity?