What is the pebble's moment of inertia with respect to the wheel's axis of rotation? Att = 3.70 [s], what is the pebble's rotational kinetic energy?
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- A bicycle wheel 67.0 [cm] in diameter rotates about its central axis with a constant angular acceleration of 4.48 [rad/s2]. It starts from rest at time t =0 [s], and a reference point on the wheel's rim P makes an angle of 60.0° above the horizontal at this time. When the wheel starts rotating, at time t=3.70 [s], A. what is the magnitude of the tangential acceleration of the wheel's rim? B. what is the angular speed of the wheel's rim? C. what is the tangential speed of the wheel's rim? D. what is point P's new angular position from the horizontal in radians? At t=1.50 [s], a small, 92.5 [g] pebble got stuck on the rim of the wheel. E. What is the pebble's moment of inertia with respect to the wheel's axis of rotation? F. At t=3.70 [s], what is the pebble's rotational kinetic energy?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?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?
- An object moves in circular motion on the deck of a ship. At the instant shown, the object ismoving around the circle with a clockwise angular velocity 5 rad/s and a counterclockwise angular acceleration 12 rad/s2 . The circle has radius of 1.0 m. At this instant, the ship has a velocity vector of [8, -6] m/s, and an acceleration vector of [−1, -2] m/s2. a. What’s the velocity vector relative to the GROUND of the object at the instant shown?b. What’s the acceleration vector relative to the GROUND of the object at the instantshown?c. If the object has a mass of 0.5 kg, what’s the net force vector applied to the object atthis instant?A circular 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?An object moves in circular motion on the deck of a ship. At the instant shown, the object ismoving around the circle with a clockwise angular velocity 5 rad/s and a counterclockwise angular acceleration 12 rad/s2 . The circle has radius of 1.0 m. At this instant, the ship has a velocity vector of [8, -6] m/s, and an acceleration vector of [−1, -2] m/s2. (for instant of object see image). a. What’s the velocity vector relative to the GROUND of the object at the instant shown?b. What’s the acceleration vector relative to the GROUND of the object at the instantshown?c. If the object has a mass of 0.5 kg, what’s the net force vector applied to the object atthis instant?
- A particle moves along a circular path of radius 300 mm. If its angular velocity is Ò = (2t2) rad/s, where t is in seconds, determine the magnitude of the particle's acceleration when t = 2 s.A disk of radius 2.25 m rotates about its axis. Points on the rim of the disk undergo tangential acceleration of magnitude 1.81 m/s?. At a particular time, the rim has a tangential speed of 1.67 m/s. At a time 0.867 s later, what is the tangential speed v of a point on the rim, the magnitude of the point's radial acceleration a,, and the magnitude of its total acceleration Arot? U = m/s ar = m/s? Atot = m/s?An astronaut is being tested in a centrifuge. The centrifuge has a radius of 9.10 m and, in starting, rotates according to θ = 0.390t2, where t is in seconds and θ is in radians. When t = 2.60 s, what are the magnitudes of the astronaut's (a) angular velocity, (b) linear velocity, (c) tangential acceleration, and (d) radial acceleration? (a) Number Enter your answer for part (a) in accordance to the question statement Units Choose the answer for part (a) from the menu in accordance to the question statement radrad/srad/s^2kg·m^2N·mkg·m^2/srad^2/s^2 (b) Number Enter your answer for part (b) in accordance to the question statement Units Choose the answer for part (b) from the menu in accordance to the question statement This answer has no units° (degrees)mkgsm/sm/s^2NJWN/mkg·m/s or N·sN/m^2 or Pakg/m^3gm/s^3times (c) Number Enter your answer for part (c)…
- At some instant, a particle traveling in a horizontal circular path of radius 8.30 m has a total acceleration with a magnitude of 19.0 m/s² and a constant tangential acceleration of 12.0 m/s². Determine the speed of the particle at this instant and (1/8) revolution later.An astronaut is being tested in a centrifuge. The centrifuge has a radius of 2 m and, in starting, rotates according to θ = 6t^2, where t is in seconds and θ is in radians. When t = 5 s, what are the magnitudes of the astronaut’s (a) tangential acceleration, and (b) radial acceleration?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 S