IP A 12-g CD with a radius of 6.0 cm rotates with an angular speed of 34 rad/s. Part A What is its kinetic energy?

Q: A disk is initially spinning at +3600 rpm. It increased its angular velocity to +7200 rpm in 9 sec.…

A: Given values: Initial angular velocity, ω1=3600 rpm Final angular velocity, ω2=7200 rpm Time, t=9 s

Q: A disk, initially rotating at 120 rad/s, is slowed down with a constant angular acceleration of…

A: Given(s): Initial angular velocity, ωi=120 rad/s Final angular velocity, ωf=0 Angular deceleration,…

Q: A rider notices that the wheels of his bicycle make 12 rev in 15 s. (a) What is the average angular…

A: a. the average angular speed is ω=12 rev/15 s=0.8 rev/s

Q: A compact disc (CD) is known to have a constant angular acceleration of 40 rad/s^2. If it starts…

A:

Q: d) A cord is now wrapped around the cylinder. Use the work energy theorem to find the angular…

A: d) The cylinder’s angular velocity can be determined by the work-energy theorem as, Here, W, K, F,…

Q: e A 12-g CD with a radius of 6.0 cm rotateswith an angular speed of 34 rad/s. (a) What is its…

A: The expression for the moment of inertia of the CD,   Substitute,

Q: A person is riding a bicycle, and its wheels have an angular velocity of 26.7 rad/s. Then, the…

A: initial angular velocity = 26.7 rad/s final angular velocity = 0 angular displacement = 16.1…

Q: While punting a football, a kicker rotates his leg about the hip joint. The moment of inertia of the…

A: Formula for rotational kinetic energy is given as follows: K=12Iω2 where I is the moment of inertia…

Q: A discus thrower moves the discus in 1.50 complete revolutions about his body in 1.26 s (starting…

A:

Q: A merry-go-round rotates at the rate of 0.20 rev/s with an 75 kg man standing at a point 2.0 m from…

A:

Q: Mary and her younger brother Alex decide to ride the 17-foot-diameter carousel at the State Fair.…

A: (a) In a uniform circular motion, angular velocity is uniform. This means equal changes in angular…

Q: The Earth’s mass is approximately 5.98 × 1024 kg, and it orbits the Sun at a distance of 1.50 × 1011…

A:

Q: A large wind turbine has three blades connected to a central hub. Each blade is 50.0m long and…

A: a)The angular speed is found as,

Q: The angular speed of an automobile engine is increased from 1200 rev/min to 3000 rev/min in 12 s.…

A: Initial angular speed: ωi = 1200 rev/min = 120060  = 20 rev/s Final angular speed: ωf = 3000 rev/min…

Q: The turntable of a record player rotates initially at 30rev/min and takes 10 s to come to rest. (a)…

A: a) -π/10 rad/s^2 or -0. 314 rad/s^2 b) 2.5 c) 1.57 m/s^2

Q: Suppose the disk has a mass of 50.0 g and an initial velocity of 30.0 m/s when it strikes the stick…

A: The moment of inertia of the disk, I=mr2   The angular velocity, ω=vr

Q: Some bacteria are propelled by motors that spin hair-like flagella. A typical bacterial motor…

A: Given, the radius of the bacterial motor is r and the tangential speed at the rim is v:

Q: 1) A compact disk or DVD rotates at a fairly high velocity while a laser head bounces light off the…

A:

Q: Some bacteria are propelled by motors that spin hair-like flagella. A typical bacterial motor…

A: Consider the angular speed of the bacterial motor be ω0, the angular speed of the rim of the…

Q: Some bacteria are propelled by motors that spin hair-like flagella. A typical bacterial motor…

A:

Q: A high-speed drill reaches 2000 rpm in 0.60 s. Part A What is the drill's angular acceleration?…

A:

Q: A spectator standing in the center of a circular running track observes a runner starting a practice…

A: Given data: Radius of the circular track, r=256 m Time taken to cover the distance, t=20.0 s

Q: (a) If its initial angular velocity was +6.58 rad/s and it rotated an angular displacement of +13.6…

A: Given, Initial angular velocity,ω0=6.58 radsec Angular displacement, θ=13.6×2π=85.45 rad Since the…

Q: A disk, initially rotating at 110 rad/s, is slowed down with a constant angular acceleration of…

A:

Q: Some bacteria are propelled by motors that spin hair-like flagella. A typical bacterial motor…

A: Linear velocity, v = 2.2 x10-5 m/s Radius, r = 1.9 x10-8 m

Q: The angular speed of an automobile engine is increased at a constant rate from 1200 rev/min to 3000…

A:

Q: a) What is the angular velocity of the system after the collision? b) How much kinetic energy is…

A: Hello. Since your question has multiple sub-parts, we will solve the first three sub-parts for you.…

Q: A disk, initially rotating at 135 rad/s, is slowed down with a constant angular acceleration of…

A:

Q: h A solid disk with mass m and radius R is placed at the top of the ramp and released. The moment of…

A:

Q: 15 rad/s in time t= 8s. The moment of inertia of the disk I= 6 kgm?. (a) Calculate the magnitude of…

A:

Q: Part A What is the magnitude of the angular momentum of the 2.40 kg , 4.20-cm-diameter rotating disk…

A: We are given with a disc of  Mass ,m = 2.4 Kg  Diameter , d = 4.2cm  Angular velocity ,w= 600 rpm

Q: A disk, initially rotating at 134 rad/s, is slowed down with a constant angular acceleration of…

A:

Q: A 12 gram CD with a radius of 6 cm rotates with an angular speed of 34 rad/s. A.) What is its…

A: The moment of inertia of the CD is

Q: A grindstone of radius 4.0m is initially spinning with an angular speed of 8.0 rad/s. The angular…

A:

Q: A 550.0 g bird is flying horizontally at 2.50 m/s, not paying much attention, when it suddenly flies…

A:

Q: With the aid of a string, a gyroscope is accelerated from rest to 32 rad/s in 0.40 s under a…

A: Write the variables with the given values.

Q: The angular speed of an automobile engine is increased at a constant rate from 982 rev/min to 3230…

A: Given information:

Q: A bicycle tire is 66 cm in diameter. (a) At what frequency f does the tire rotate when the bicycle…

A: d = 66 cm = 0.66 m r = d/2 = 0.33 m v = 35 km/h = 35kmh×1000m1km×1h60min×1min60s=9.72 m/s f = ? ω =…

Q: A 8.6-cm-diameter, 389 g sphere is released from rest at 3.2-m-long, 25° incline. It rolls, without…

A:

Q: A deep-sea fisherman hooks a big fish that swims away from the boat, pulling the fishing line from…

A:

Q: A disk, initially rotating at 131 rad/s, is slowed down with a constant angular acceleration of…

A:

Q: Q3/ A rest particle was accelerated by a circular path of radius 5 m, according to equation…

A: Given, Acceleration, α=40t3-5t2+8t+2 Radius, R=5 m

Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.