ircular disc with radius r = 0.967 m rotates around its own axis. What is the angular acceleration after the time 8.4 s if θ (t) = k · t^n rad, where k = 3.41 and the exponent n = 1.94?
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A circular disc with radius r = 0.967 m rotates around its own axis. What is the
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- A bicycle wheel 65.0 [cm] in diameter rotates about its central axis with a constant angular acceleration of 4.50 [rad/s2]. It starts from rest at time ? = 0 [s], and a reference point on the wheel’s rim ? makes an angle of 50.0◦ above the horizontal at this time. When the wheels starts rotating, at time ? = 2.70 [s],A. what's the magnitude of the tangential acceleration of the wheel’s rim? B. what's the angular speed of the wheel’s rim? c. what's the tangential speed of the wheel’s rim? d. what's point ?’s new angular position from the horizontal in radians? At ? = 1.40 [s], a small, 93.5 [g] pebble got stuck on the rim of the wheel.e. What's the pebble’s moment of inertia with respect to the wheel’s axis of rotation?f. At ? = 2.70 [s], what is the pebble’s rotational kinetic energy?The sun appears to move across the sky, because the earth spins on its axis. To a person standing on the earth, the sun subtends an angle of Asun distance equal to its own diameter? 9.26 x 103 rad (see Conceptual Example 2). How much time (in seconds) does it take for the sun to move a carth Δθ Apparent motion of sun and actual motion of earth Number 1.27E Units SThe minute hand on a watch is 1.00 cm in length. Assume the origin of the xy-plane is at the center of the clock face, the x-axis points in the same direction as the minute hand at 8:15 a.m., and the y-axis points in the same direction as the minute hand at 8:00 a.m. What is the displacement vector of the tip of the minute hand from 8:00 to 8:20 a.m.? Enter the x and y components of the displacement vector in centimeters separated by a comma. What is the displacement vector of the tip of the minute hand from 8:00 to 9:00 a.m.? Enter the x and y components of the displacement vector in centimeters separated by a comma.
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- A bicycle wheel 65.0 [cm] in diameter rotates about its central axis with a constant angular acceleration of 4.50 [rad/s2]. It starts from rest at time ? = 0 [s], and a reference point on the wheel’s rim ? makes an angle of 50.0◦ above the horizontal at this time. When the wheels starts rotating, at time ? = 2.70 [s], d. what's point ?’s new angular position from the horizontal in radians? At ? = 1.40 [s], a small, 93.5 [g] pebble got stuck on the rim of the wheel.e. What's the pebble’s moment of inertia with respect to the wheel’s axis of rotation?f. At ? = 2.70 [s], what is the pebble’s rotational kinetic energy?A Ferris wheel has a radius of 30 m and its centre is 32 m above the ground. It rotates once every 48 s. Ethan gets on the Feris wheel at the lowest point and then the wheel starts to rotate. The amount of time it takes Ethan to reach 38 m above the ground for the first time, to the nearest tenth of a second, is S. Your answerple 1. A particle moves along the curve F = (1³ − 41)î + (1² +41) ĵ + (81²-31³) k, where t is the time. Find the magnitude of the tangential components of its acceleration at t = 2.
- A disk of radius 3.00 m rotates like a merry-go-round as given by the function θ = 2.00t^4 + 6.00t^2, where θ is in radians and t is in seconds. What is the radial acceleration (m/s2) of a point on the rim t = 2.00 s?The earth's radius is about 4000 miles. Kampala, the capital of Uganda, and Singapore are both nearly on the equator. The distance between them is 5000 miles. a. Through what angle do you turn, relative to the earth, if you fly from Kampala to Singapore? Give your answer in both radians and degrees.A Ferris wheel has a radius of 42.4 feet. The bottom of the Ferris wheel sits 0.8 feet above the ground. You board the Ferris wheel at the 6 o'clock position and rotate counter- clockwise. a. Define a function, f that gives your height above the ground (in feet) in terms of the angle of rotation (measured in radians) you have swept out from the 6 o'clock position, a f(a)-42.4sin(a)+43.2 Preview b. Define a function, g, that gives your height above the ground (in feet) in terms of the number of feet you have rotated counter-clockwise from the 6 o'clock position, s. g(s)=43.2+42.2sin(s/42.4) Preview