Angular Momentum
Angular momentum is a fundamental concept in physics, describing the rotational motion of an object around an axis. It plays a crucial role in understanding various phenomena, from the motion of celestial bodies to the behavior of subatomic particles. Defined as the product of an object's moment of inertia and its angular velocity, angular momentum is a conserved quantity, meaning it remains constant in the absence of external torques. This principle has profound implications for fields such as mechanics, quantum mechanics, and astrophysics, making angular momentum a cornerstone of modern physics.
Questions
- A solid disk, spinning counter-clockwise, has a mass of #2 kg# and a radius of #5 m#. If a point on the edge of the disk is moving at #2 m/s# in the direction perpendicular to the disk's radius, what is the disk's angular momentum and velocity?
- A solid disk, spinning counter-clockwise, has a mass of #6 kg# and a radius of #3/5 m#. If a point on the edge of the disk is moving at #1 m/s# in the direction perpendicular to the disk's radius, what is the disk's angular momentum and velocity?
- A solid disk, spinning counter-clockwise, has a mass of #2 kg# and a radius of #7/4 m#. If a point on the edge of the disk is moving at #7/4 m/s# in the direction perpendicular to the disk's radius, what is the disk's angular momentum and velocity?
- A solid disk, spinning counter-clockwise, has a mass of #16 kg# and a radius of #3/7 m#. If a point on the edge of the disk is moving at #8/5 m/s# in the direction perpendicular to the disk's radius, what is the disk's angular momentum and velocity?
- A solid disk, spinning counter-clockwise, has a mass of #6 kg# and a radius of #8/5 m#. If a point on the edge of the disk is moving at #4/5 m/s# in the direction perpendicular to the disk's radius, what is the disk's angular momentum and velocity?
- A solid disk, spinning counter-clockwise, has a mass of #8 kg# and a radius of #3/2 m#. If a point on the edge of the disk is moving at #5 m/s# in the direction perpendicular to the disk's radius, what is the disk's angular momentum and velocity?
- A solid disk, spinning counter-clockwise, has a mass of #4 kg# and a radius of #3 m#. If a point on the edge of the disk is moving at #8 m/s# in the direction perpendicular to the disk's radius, what is the disk's angular momentum and velocity?
- A solid disk, spinning counter-clockwise, has a mass of #8 kg# and a radius of #5/2 m#. If a point on the edge of the disk is moving at #5/8 m/s# in the direction perpendicular to the disk's radius, what is the disk's angular momentum and velocity?
- A cylinder has inner and outer radii of #2 cm# and #4 cm#, respectively, and a mass of #12 kg#. If the cylinder's frequency of counterclockwise rotation about its center changes from #6 Hz# to #1 Hz#, by how much does its angular momentum change?
- What is the angular momentum of an object with a mass of #5 kg# that moves along a circular path of radius #4 m# at a frequency of # 1 Hz #?
- A solid disk, spinning counter-clockwise, has a mass of #8 kg# and a radius of #5/2 m#. If a point on the edge of the disk is moving at #9/4 m/s# in the direction perpendicular to the disk's radius, what is the disk's angular momentum and velocity?
- A cylinder has inner and outer radii of #9 cm# and #14 cm#, respectively, and a mass of #9 kg#. If the cylinder's frequency of counterclockwise rotation about its center changes from #5 Hz# to #7 Hz#, by how much does its angular momentum change?
- What is the difference between angular momentum and linear momentum?
- What is the angular momentum of a rod with a mass of #2 kg# and length of #7 m# that is spinning around its center at #13 Hz#?
- How does angular momentum create a perpendicular force? How does angular momentum create a perpendicular force? How does angular momentum create a perpendicular force?
- What is the angular momentum of an object with a mass of #5 kg# that moves along a circular path of radius #9 m# at a frequency of # 2/3 Hz #?
- A cylinder has inner and outer radii of #9 cm# and #14 cm#, respectively, and a mass of #9 kg#. If the cylinder's frequency of counterclockwise rotation about its center changes from #1 Hz# to #7 Hz#, by how much does its angular momentum change?
- A cylinder has inner and outer radii of #8 cm# and #16 cm#, respectively, and a mass of #6 kg#. If the cylinder's frequency of counterclockwise rotation about its center changes from #2 Hz# to #7 Hz#, by how much does its angular momentum change?
- A solid cylinder rolls down an inclined plane of height 3 m and reaches the bottom of plane with angular velocity of 2√2 rad/s. The radius of the cylinder must be ?
- The length if an arc traversed by minute hand of a watch 1 cm long after 15 minute as?