1. A rotating top has a scratch 0.05 m from the vertical axis of rotation. It...
1. A rotating top has a scratch 0.05 m from the vertical axis of rotation. It does 3 revolutions in 5 seconds. The angular velocity of the top is rad / s. The tangential velocity of the scratch is m / s. Give your answers to two decimal places.
2. A skater is spinning at 2 rev / s. She increases her angular velocity in 7 seconds until it is 8π rad / s. By what angle, in degrees, does she rotate in that time?
3. A skater is spinning at 0.6 rev / s. What angular acceleration is necessary, in units of rad / s², to increase her angular velocity to 9 rad / s while she rotates by an angle of 1000°?
Homework Answers
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1. A rotating top has a scratch 0.05 m from the vertical axis of
rotation. It...
135° Figure skater Michelle Kwan performs a triple jump. She rotates around her longitudinal axis three...
135° Figure skater Michelle Kwan performs a triple jump. She rotates around her longitudinal axis three times while in the air. The time it takes to complete the jump from takeoff to landing is 0.6 sec. What was her average angular speed for this jump? Express your answer in degrees and radians. (2 pts) Dbao g ni) vloolo l d A discus thrower begins a throwing motion by spinning at an angular velocity of 3.5rad/s. The discus thrower's angular velocity...
1) An object rotating at 500 rpm (rev/min) is spinning faster than an object rotating at...
1) An object rotating at 500 rpm (rev/min) is spinning faster than an object rotating at 500 rad/s. True False 2) If you're goin to calculate an object's tangenital velocity from its angular velocity, the angular velocity can be expressed in either rad/s or rev/min True false 3) Tangential acceleration is measured in m/s^2 true false
a. A rotating wheel requires 7.00 s to rotate 25.0 revolutions. Its angular velocity at the...
a. A rotating wheel requires 7.00 s to rotate 25.0 revolutions. Its angular velocity at the end of the 7.00 s interval is 97.0 rad/s. What is the constant angular acceleration of the wheel? b. A machine part rotates at an angular speed of 0.52 rad/s; its speed is then increased to 3.2 rad/s at an angular acceleration of 0.52 rad/s2. Find the angle through which the part rotates before reaching this final speed. c. A dentist's drill starts from...
1. Three children are riding on the edge of a merry‑go‑round that has a mass of...
1. Three children are riding on the edge of a merry‑go‑round that has a mass of 105 kg and a radius of 1.80 m. The merry‑go‑round is spinning at 22.0 rpm. The children have masses of 22.0, 28.0, and 33.0 kg. If the 28.0 kg child moves to the center of the merry‑go‑round, what is the new angular velocity in revolutions per minute? Ignore friction, and assume that the merry‑go‑round can be treated as a solid disk and the children...
A figure skater can increase her spin rotation rate from an initial rate of 1.0 rev...
A figure skater can increase her spin rotation rate from an initial rate of 1.0 rev every 1.2 s to a final rate of 2.0 rev/s . PART A If her initial moment of inertia was 4.9 kg⋅m2 , what is her final moment of inertia? Express your answer using two significant figures. PART B How does she physically accomplish this change? Q2 A person of mass 75 kg stands at the center of a rotating merry-go-round platform of radius...
Question 8 (6 points) A 60.0-kg skater is spinning at 0.800 rev/s with her arms and...
Question 8 (6 points) A 60.0-kg skater is spinning at 0.800 rev/s with her arms and legs extended outward. In this position her moment of inertia with respect to the vertical axis about which she is spinning is 6.00 kg•m?. She pulls her arms and legs in close to her body changing her moment of inertia to 2.00 kg•m². What is her final angular velocity in rad/s? a) 8.71 rad/s b) 15.1 rad/s c) 2.40 rad/s d) 0.800 rad/s e)...
An electric turntable 0.780 m in diameter is rotating about a fixed axis with an initial...
An electric turntable 0.780 m in diameter is rotating about a fixed axis with an initial angular velocity of 0.220 rev/s . The angular acceleration is 0.881 rev/s2 . A)Compute the angular velocity after a time of 0.206 s . B)Through how many revolutions has the blade turned in this time interval? C)What is the tangential speed of a point on the tip of the blade at time t = 0.206 s ? D)What is the magnitude of the resultant...
1. When a point on the edge of a DVD (radius 6.0 cm) moves along an...
1. When a point on the edge of a DVD (radius 6.0 cm) moves along an arc of length 120 cm, through what multiple of π rad does the disk turn? 2. With an angular velocity of 3.4π rad/s, how much time is required to complete 11 complete revolutions? 3. The blades of a kitchen blender rotate counterclockwise at 2.2x10^4 rpm (revolutions per minute) a top speed. It takes the blender 2.1 seconds to reach this top speed after being...
Two disks are rotating about the same axis. Disk A has a moment of inertia of...
Two disks are rotating about the same axis. Disk A has a moment of inertia of 4.45 kg.m2 and an angular velocity of +4.87 rad/s. Disk B is rotating with an angular velocity of -7.28 rad/s. The two disks are then linked together without the orques, so that they rotate as a single unit with an angular velocity of -3.59 rad/s. The axis of rotation for this unit is the same as that for the separate disks. What is the...
please help A uniform disk of radius 0.65 m rotates clockwise about its central axis and...
please help
A uniform disk of radius 0.65 m rotates clockwise about its central axis and accelerates with constant angular acceleration. At time 1-0 it is rotating at 34 rad/s, at timeに15 s later, its angular speed is 13 rad/s. (Recall 2π rad-1 rev). a. What is the direction of the angular velocity? b. What is the direction of the angular acceleration? c. Calculate the magnitude of the angular acceleration d. Through how many radians has the disk turned in...
135° Figure skater Michelle Kwan performs a triple jump. She rotates around her longitudinal axis three times while in the air. The time it takes to complete the jump from takeoff to landing is 0.6 sec. What was her average angular speed for this jump? Express your answer in degrees and radians. (2 pts) Dbao g ni) vloolo l d A discus thrower begins a throwing motion by spinning at an angular velocity of 3.5rad/s. The discus thrower's angular velocity...
Question 8 (6 points) A 60.0-kg skater is spinning at 0.800 rev/s with her arms and legs extended outward. In this position her moment of inertia with respect to the vertical axis about which she is spinning is 6.00 kg•m?. She pulls her arms and legs in close to her body changing her moment of inertia to 2.00 kg•m². What is her final angular velocity in rad/s? a) 8.71 rad/s b) 15.1 rad/s c) 2.40 rad/s d) 0.800 rad/s e)...
Two disks are rotating about the same axis. Disk A has a moment of inertia of 4.45 kg.m2 and an angular velocity of +4.87 rad/s. Disk B is rotating with an angular velocity of -7.28 rad/s. The two disks are then linked together without the orques, so that they rotate as a single unit with an angular velocity of -3.59 rad/s. The axis of rotation for this unit is the same as that for the separate disks. What is the...
please help
A uniform disk of radius 0.65 m rotates clockwise about its central axis and accelerates with constant angular acceleration. At time 1-0 it is rotating at 34 rad/s, at timeに15 s later, its angular speed is 13 rad/s. (Recall 2π rad-1 rev). a. What is the direction of the angular velocity? b. What is the direction of the angular acceleration? c. Calculate the magnitude of the angular acceleration d. Through how many radians has the disk turned in...
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