Suppose a yo-yo has a center shaft that has a 0.260 cm radius and that its string is being pulled. (a) If the string is stationary and the yo-yo accelerates away from it at a rate of 1.70 m/s2, what is the angular acceleration of the yo-yo in rad/s2? rad/s2 (b) What is the angular velocity in rad/s after 0.750 s if it starts from rest? rad/s (c) The outside radius of the yo-yo is 3.40 cm. What is the tangential acceleration in m/s2 of a point on its edge? m/s2

Q: On takeoff, the propellers on a UAV (unmanned aerial vehicle) increase their angular velocity from…

A: Given data:  Initial angular velocity (ω0) = 0 rad/s Angular velocity as function of time ω = 25.0 t

Q: angular acceleration w

A:

Q: A dentist's drill starts from rest. After 4.10 s of constant angular acceleration it turns at a rate…

A: The initial angular speed is zero. The final angular speed in rad/s can be obtained as ωf=2.80×104…

Q: Starting from rest, a person pedals a bicycle such that the angular acceleration of the wheels is a…

A: Since you have posted a question with a multiple sub parts, we will solve first three sub - parts…

Q: A 50-Nm torque acts on a wheel with a moment of inertia 150 kg m2. Part A)  How many radians are…

A: Given:-  The torque on a wheel is τ= 50 Nm. The moment of inertia of the wheel is I = 150 kgm2.…

Q: the angular vel

A:

Q: A 18 cm disk in radius is originally rotating at wo = 11 rad/s. If it is subjected to a constant…

A: Given : r = 18 cm = 0.18 m ωo = 11 rad/s α = 7 rad/s2 t = 0.63 sec

Q: A wheel 1.28m in diameter rotates with an angular acceleration of 2.26 rad/s^2. If the wheels…

A: The given problem can be solved using kinematical equations for rotational motion. These equations…

Q: A wheel rotating about a fixed axis with a constant angular acceleration of 2.0 rad/s starts from…

A: Given that, Angular acceleration α=2.0 rad/s2 Time t= 0.60 s Diameter = 52 cm

Q: 3. During a tennis serve, a racket is given an angular acceleration of magnitude 180 rad/s². At the…

A:

Q: A wheel initially (at t = 0) has an angular velocity of 18 rad/s. It has a constant angular…

A:

Q: An ultracentrifuge accelerates from rest to 9.97 x 10° rpm in 1.99 min. What is its angular…

A:

Q: The angular speed of a rotating disk is given by the equation. = (2rad/s) + (3radts2)t What is the…

A:

Q: An ice skater starts a spin with her arms stretched out to the sides. She balances on the tip of one…

A: If no external torque acts on the system, then the total angular momentum of the system remains…

Q: Suppose a yo-yo has a center shaft that has a 0.230 cm radius and that its string is being pulled.…

A:

Q: A tire is rolling with an initial angular velocity of 10.0 rad/s. It slows down with an angular…

A:

Q: A solid cylinder of mass 2kg and radius of 3 cm thrown down the lane with an initial speed of 5m/s.…

A: Solution

Q: A computer drive disk with a radius of 0.075 m is turned on starting from rest with a constant…

A:

Q: The tires of a car make N revolutions as the car reduces its linear speed uniformly from initial…

A: Given,

Q: An object has an initial angular velocity of 5.0 rad/s and undergoes an angular acceleration of 15…

A:

Q: An object of mass ?1 is tied to a string and allowed to revolve in a circle of radius ? on a…

A:

Q: A child is riding a merry-go-round which completes one revolution every 12.0 s. The child is…

A:

Q: Angular velocity of a rotating objects changes from 595%/s to.924%/s in 1.2s. What is the angular…

A: The initial angular velocity of the rotating object is ω1=595°/s The final angular velocity of the…

Q: A child of mass 32.6 kg rides a broken 13.0-kg merry-go-round in the shape of a hoop of radius 4.12…

A:

Q: A dentist's drill starts from rest. After 4.00 s of constant angular acceleration it turns at a rate…

A:

Q: ball with a radius of 0.10 m is given an angular acceleration of 18 rad/s2 for 2 seconds. Assuming…

A: Given Initial angular velocity = 0angular acceleration= 18 rad /s2 Time taken t = 2 sec

Q: 2. A carnival ride has 4 planes going around in a circle. Propeller on the front of each plane…

A: Step 1:Step 2:Step 3:

Q: 3. A pulley, suspended from the ceiling, has a mass of 4.50 kg and a radius of 30.0 cm. A string is…

A:

Q: wheel, radius = 16 cm starts from rests. angular speed increases over 9.4 s until it reaches 22…

A:

Q: Suppose a yo-yo has a center shaft that has a 0.280 cm radius and that its string is being pulled.…

A: Given, The radius of the center shaft, r=0.280 cm=0.280×10-2 m Acceleration of the yo-yo, a=1.80…

Q: A merry-go-round rotates from rest with an angular acceleration of 1.54 rad/s. How long does it take…

A:

Q: A dentist's drill starts from rest. After 3.00 s of constant angular acceleration it turns at a rate…

A: Given drill starts from rest it means its initial angular speed is ωi=0 At t=3.00s  It attain…

Q: A dentist's drill starts from rest. After 2.60 s of constant angular acceleration it turns at a rate…

A: Given angular velocity ω= 2.40 ×104 rev/min= 2513.2741rad/s Time duration t = 2.60 s  We have to…

Q: An object that is initially at rest undergoes an angular acceleration of 1.62 rad/s2. What is the…

A:

Q: At time t= 0s, a wheel has an angular displacement of zero radians and an angular velocity of 29…

A:

Q: A figure skater performs a twisting jump. She rotates around her longitudinal axis 2 times in 0.65…

A: Given data:  Angular displacement (Δθ) = 2 rev Time (t) = 0.65 s Required: The average angular…

Q: An optical disk drive in your computer can spin a disk up to 10,000 rpm (about 1045 rad/s). If a…

A: Here the concept of angular velocity, angular acceleration and tangential acceleration is used.

Q: A wheel rotating about a fixed axis with a constant angular acceleration of 2.0 rad/s starts from…

A: Given data: Angular acceleration, α=2.0 rad/s2 Diameter of the wheel, d=41 cm=0.41 m Time taken,…

Q: Suppose a yo-yo has a center shaft that has a 0.290 cm radius and that its string is being pulled.…

A:

Q: Suppose a yo-yo has a center shaft that has a 0.280 cm radius and that its string is being pulled.…

A:

Q: A figure skater performs a twisting jump. She rotates around her longitudinal axis 2 times in 0.65…

A: Given: figure skater performs a twisting jump. She rotates around her longitudinal axis 2 times in…

Q: acceleration it turns at a rate of 2.00 ✕ 104 rev/min. (a) Find the drill's angular acceleration.…

A:

Q: golfer is hitting a shot, the angular velocity of her club is zero at the top of the backswing and…

A:

Q: A cyclist starts from rest and pedals such that the wheels of his bike have a constant angular…

A:

Q: An ultracentrifuge accelerates from rest to 100,000 rpm in 2.50 min. (a) What is its angular…

A: The final angular velocity in rad/s is The angular acceleration is

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.