The difference between angular speed of minute hand and second hand of a clock is 59т rad/s 900 59т rad/s 1800 (a) (b) 59T rad/s 59T rad/s 3600 · (c) (d) 2400
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![The difference between angular speed
of minute hand and second hand of a clock is
59т
rad/s
900
59т
rad/s
1800
(а)
(b)
· (c)
59п
rad/s
(d)
3600
59т
rad/s
2400](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F314a8e3a-eb1d-41a7-a759-93189948f0b0%2F91fb3887-ea43-4187-bb4b-d86ec2c17c0c%2Fyadkeqk_processed.jpeg&w=3840&q=75)
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- A figure skater performs a twisting jump. She rotates around her longitudinal axis 2 times in 0.65 s. What was her average angular velocity in radians/second? A 720rad/s B 19.3rad/s C 4? rad/s D 9.67 rad/s E 1107 rad/sA rotating disk has an angular position of 0 = 2π +πt+2πt², measured in radians. How many complete rotations does the disk perform between t=0 s and t-2 s? 03 04 06 02 05The angular velocity of a pulley of mass m and radius R changes with time w(t) = 60e-0.02t (rad/s). How m any cycles does the pulley make until it stops? Take =3. A) 150 В) 200 С) 125 D) 100 E) 500
- Solution (a) Find the angular displacement after 2.00 s, in both radians and revolutions. 1 A0 = w;t + Use Equation 7.8, setting @; 1.60 rad/s, a = 3.50 rad/s2, and t = 2.00 s. 1 Að = (1.60 rad/s) (2.00 s) + (3.50 rad/s²) (2.00 s)² 2 A0 = 10.2 rad Convert radians to revolutions. A0 = (Am rad)(1.00 rev/2r rad) AO = 16.02 X rev Your response differs from the correct answer by more than 100%. (b) What is the angular speed of the wheel at t = 2.00 s? Substitute the same values into Equation 7.7. @ = @; + at = 1.60 rad/s + (3.50 rad/s²)(2.00 s) W = rad/s Remarks The result of part (b) could also be obtained from Equation 7.9 and the results from part (a). - INA particle moves in a circle of radius 68 m with a constant speed of 21 m/s. (a) What is its angular velocity in radians per second about the center of the circle? (Solved) .309 rad/s(b) How many revolutions does it make in 30 s? (unsolved)Topic: Angular Motion in a Plane
- The Earth’s rate of rotation is constantlydecreasing, causing the day to increase in duration. In the year2006 the Earth took about 0.840 s longer to complete 365 revolutions than it did in the year 1906. What was the average angularacceleration, in rad>s2, of the Earth during this time?Assume a clock mounted on the wall, what is the value of angular acceleration of the second hand of the clock on the wall ? 11 12 10 3. 765 2nrad / sec? 60 rad / sec? O rad/sec2 n rad/ sec? 4.A potter's wheel moves uniformly from rest to an angular speed of 0.17 rev/s in 32.0 s. (a) Find its angular acceleration in radians per second per second. rad/s2 (b) Would doubling the angular acceleration during the given period have doubled final angular speed? O Yes O No
- The angular velocity of a wheel increases from 100 to 30 10 s. The number of revolutions made during that time is (а) 600 (c) 1000 (b) 1500 (d) 2000Rev/min 400 300 200 100 0 0 1 2 3 4 5 Time (s) T T 6 7 8 The angular velocity versus time for a fan on a hovercraft is shown above. Determine the number of revolutions in the first 7.38 seconds.A compact disk on a CD player rotates clockwise. The disk completes one revolution in 0.249 s. (a) Find the angular velocity of the disk. magnitude direction clockwise (b) Find the speed of a point on the disk 5.15 cm from the axis of rotation.