The radius of a body moving in a circle with constant angular velocity is given by r = 4t2, with respect to time. What is the magnitude of the tangential velocity at t = 2s, if the angular velocity is 7 rad/s? a) 112 b) 113 c) 56 d) 28
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The radius of a body moving in a circle with constant
a) 112
b) 113
c) 56
d) 28
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- During the last rotation, a hammer thrower maintains a constant acceleration of his hammer, from 28 m/s at the beginning of the rotation to 32 m/s at the time of release. a) If the radius of the hammer's rotations is 1.3 m, what is the total linear acceleration when the hammer has covered 3/4 of the last rotation? Steps: 1) Find the tangential acceleration of the hammer: m/s2 2) Find the tangential velocity after 3/4 of the final rotation: m/s. (Note, this is NOT just 3/4 of the way from 28 to 32 , because you travel further in a given time at higher speed.) 3) Find the radial acceleration of the hammer after 3/4 of the final rotation: m/s2. 4) Find the total acceleration after 3/4 of the final rotation: m/s2. b) How far will the throw go, if the initial launch angle is 41 degrees above the horizontal, 1.9 m above the ground. Steps: 1) Find the time-of-flight: s 2) Find the horizontal velocity: m/s 3) Find the horizontal distance: m.2. A small nail stuck in your car tire moves on a circular path with a radius of 35 cm. When the nail has traveled a linear distance of 5.5 m, through what angle has the tire rotated? Give your answer in radians and degrees. (Answers: 0 = 16 rad, 0 = 900°)A rock tied to the end of string swings at a constant angular rate. If you are told that the string can support a total of 85 N of force before breaking, what is the maximum angular velocity the rock can rotate if the rock has a mass of 0.16 kg, and the length of the string is 0.5 m? Give your answer in units of radian per second
- An electric fan is turned off, and its angular velocity decreases uniformly from 450 rev/min to 220 rev/min in a time interval of length 4.50s. a) Find the angular acceleration α in revolutions per second per second. b) Find the number of revolutions made by the fan blades during the time that they are slowing down in Part A. c) How many more seconds are required for the fan to come to rest if the angular acceleration remains constant at the value calculated in Part A?Number 4 needs answeredIntro Physics I, Homework #7 See Walker Ch. 5, 6.1, 6.3, 7.1-7.2, 13.1 Submit to Google Classroom by 10 P.M., Monday, April 4 Remember to show all work and include units In Newton's late 17th century era, there were relatively accurate estimates, from terrestrial and astronomical observations and experiments, of the distance of the Earth to the Sun (dEs = 150 million 1. kilometers) and the circumference of the Earth (Cp = 40,000 kilometers [the meter was later defined during the late 18th century French revolution in relation to the size of the Earth]). Newton further estimated, likely based on the density of rocks, that the Earth was a solid sphere with a density about 6 times the density of water, which has density of pwater = 1 g/cm³.
- Write down the conversion factor to convert an angular speed of 26 rev/hour to rad/s. 2n rev 1hour 1 rad 60s A 2z rad1 hour 1 rev 60s 2n rad 1hour Trev 3600s %3D 01rad 3600 hour 2n rev 1s 27 rad 1hour •Previous2) A bicycle wheel is rotating at 18 rad/s. The person is pedaling such that the wheel is accelerating at 4 rad/s^2.How much time elapses until the bike rider is moving at 20 m/s? Assume the bicycle has 27 inches diameter wheels. a) 10.1 s b) 9.3 s c) 58.4 s d) 15.4 s e) 28.9 s