A solid disk, spinning counter-clockwise, has a mass of $4 k g$ $4 kg$ and a radius of $\frac{3}{7} m$ $3/7 m$ . If a point on the edge of the disk is moving at $\frac{5}{9} \frac{m}{s}$ $5/9 m/s$ 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 $4 k g$ $4 kg$ and a radius of $\frac{3}{7} m$ $3/7 m$ . If a point on the edge of the disk is moving at $\frac{5}{9} \frac{m}{s}$ $5/9 m/s$ in the direction perpendicular to the disk's radius, what is the disk's angular momentum and velocity?

1 Answer

Impact of this question

1741 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-06-15T06:27:53

$L = I w = M R^{2} \cdot \frac{v}{R} = (4) {(\frac{3}{7})}^{2} \cdot \frac{\frac{5}{9}}{\frac{3}{7}} = 0.950$ $L = Iw = MR^2*v/R = (4)(3/7)^2*(5/9)/(3/7) = 0.950$

Explanation:

Like linear momentum;
p = mv.

Angular momentum equals the angular component of mass multiplied by the angular velocity,
hence;
L (angular momentum) = I (inertia) x w (angular velocity).

Inertia of a solid disk = $M R^{2}$ $MR^2$ , where R = radius, and M = mass of disk.

Angular velocity equals tangential velocity divided by radius.

Science

Math

Humanities

... and beyond

A solid disk, spinning counter-clockwise, has a mass of $4 k g$ $4 kg$ and a radius of $\frac{3}{7} m$ $3/7 m$ . If a point on the edge of the disk is moving at $\frac{5}{9} \frac{m}{s}$ $5/9 m/s$ 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 4kg4 kg and a radius of 37m3/7 m. If a point on the edge of the disk is moving at 59ms5/9 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 $4 k g$ $4 kg$ and a radius of $\frac{3}{7} m$ $3/7 m$ . If a point on the edge of the disk is moving at $\frac{5}{9} \frac{m}{s}$ $5/9 m/s$ in the direction perpendicular to the disk's radius, what is the disk's angular momentum and velocity?