What is the magnitude of the rpm (revolution per minute) of a speck of clay on the edge of a potter’s wheel that has a velocity of 1.56 m/s and has angular acceleration aR=4.8 m/s^2.
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What is the magnitude of the rpm (revolution per minute) of a speck of clay on the edge of a potter’s wheel that has a velocity of 1.56 m/s and has
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- Most gasoline engines in today's automobiles are belt driven. This means that the crankshaft, a rod which rotates and drives the pistons, is timed to the camshaft, the mechanism which actuates the valves, by means of a belt. Starting from rest, assume it takes t = 0.0100 s for a crankshaft with a radius of r₁ = 3.75 cm to reach 1550 rpm. If the belt does not stretch or slip, calculate the angular acceleration a2 of the larger camshaft, which has a radius of r2 = 7.50 cm, during this time period. α₂ = rad/s²A person pushes on a lever 0.7 meters away from the axis of rotation with 100 N of force. The rotational inertia of the lever is 35 kg*m2. Calculate the angular acceleration of the lever.A flywheel has a constant angular deceleration of 1.6 rad/s/s. If the flywheel comes to rest from an angular velocity of 269.2 rad/s, what was the angular displacement and the time for the wheel's rotation?
- A person is riding a bicycle, and its wheels have an angular velocity of 16.1 rad/s. Then, the brakes are applied and the bike is brought to a uniform stop. During braking, the angular displacement of each wheel is 12.7 revolutions. (a) How much time does it take for the bike to come to rest? (b) What is the anguar acceleration (in rad/s2) of each wheel?A cylinder is 0.4 m in radius and {h} m in length. Its rotational inertia, about the cylinder axis on which it is mounted, is 1.2 kg. m². A string is wound around the cylinder and pulled with a force of 4 N. The angular acceleration of the cylinder is: Answer:a) What is the period of rotation of Venus in seconds? (The period of rotation of Venus in hours is 5,832.5 hr.) Answer in seconds (b)What is the angular velocity (in rad/s) of Venus? (Enter the magnitude.) Answer in rad/s (c) Given that Venus has a radius of 6.1 ✕ 106 m at its equator, what is the linear velocity (in m/s) at Venus's surface? (Enter the magnitude of the linear velocity at the equator.) Answer on m/s
- Angular speed (ω) is related to speed (v) as: v = r × ω, where r is radius. Determine the dimension of angular speed ω in terms of [L], [M], [T].The angular position of a rotating object is given by the equation e = a + bt + ct? where a, b, and c are constants. Here a = 1.46 rad, b = 2.04 rad/s, and c = 3.00 rad/s?. (a) What is the position of the object at t, = 0 and t, = 4.00 s? e, = e, = rad rad (b) What is the angular speed of the object at t, = 0 and t, = 4.00 s? w, = rad/s w2 rad/s (c) What is the angular acceleration of the object at t, = 0 and t, = 4.00 s? a, = rad/s? rad/s? a, =Most gasoline engines in today's automobiles are belt driven. This means that the crankshaft, a rod which rotates and drives the pistons, is timed to the camshaft, the mechanism which actuates the valves, by means of a belt. Starting from rest, assume it takes t = 0.0760 s for a crankshaft with a radius of r1 = 4.75 cm to reach 1350 rpm. If the belt does not stretch or slip, calculate the angular acceleration a2 of the larger camshaft, which has a radius of r2 = 9.50 cm, during this time period. a2 = rad/s?
- A wheel rotates with the constant angular acceleration of 2.00 rad/s*^2. If the angular speed of the wheel is 4.10 rad/s at t=0, what is the angular displacement of the wheel after 3.10 secondsA diver runs horizontally off the end of a diving tower 3.5m above the surface of the water with an initial speed of 2.5 m/s. During her fall she rotates with an average angular speed of 2.6 rad/s How many revolutions has she made when she hits the water? Express your answer using two significant figures.Δθ= (?) revA rotating object's angular position is given by ?(t) =(1.91t2 − 7.30t + 2.75) rad, where t is measured in seconds. Find the following: (a) the object's angular speed when t = 3.30 s (b) the magnitude of the angular acceleration when t = 3.30 s