A fan blade is rotating with a constant angular acceleration of + 10.0 rad/s². At what point on the blade, as measured from the axis of rotation, does the magnitude of the tangential acceleration equal that of the acceleration due to gravity? r = i
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A fan blade is rotating with a constant
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- A wheel of diameter 21.0 cm has a 10.0 m cord wrapped around its periphery. Starting from rest, the wheel is given a constant angular acceleration of 3.00 rad/s². How long will it take the cord to unwind?A 37.2-cm diameter disk rotates with a constant angular acceleration of 2.3 rad/s2. It starts from rest at t = 0, and a line drawn from the center of the disk to a point P on the rim of the disk makes an angle of 57.3° with the positive x-axis at this time. (a) Find the angular speed of the wheel at t = 2.30 s. rad/s(b) Find the linear velocity and tangential acceleration of P at t = 2.30 s. linear velocity m/s tangential acceleration m/s2 c) Find the position of P (in degrees, with respect to the positive x-axis) at t = 2.30s. °a disc, starting from rest, undergoes a constant angular acceleration. It reaches an angular velocity of 3 radians/sec after rotating through a total angle of 4 radians. What is the value of its angular acceleration in radians/sec2?
- The angular speed of a rotating platform changes from ω0 = 3.6 rad/s to ω = 6.4 rad/s at a constant rate as the platform moves through an angle Δθ = 5.5 radians. The platform has a radius of R = 12 cm. Calculate the angular acceleration of the platform α in rad/s2.A crankshaft rotating at 2.45 rad/s undergoes an angular acceleration of 0.590 rad/s^2. What is the angular velocity of the shaft after 8.37 s? Give your answer in rad/s.A fan blade is rotating with a constant angular acceleration of +12.9 rad/s2. At what point on the blade, as measured from the axis of rotation, does the magnitude of the tangential acceleration equal that of the acceleration due to gravity?
- A figure skater begins spinning counterclock- wise at an angular speed of 4.9 T rad/s. Dur- ing a 4.8 s interval, she slowly pulls her arms inward and finally spins at 7.3 T rad/s. What is her average angular acceleration during this time interval? Answer in units of rad/s².The angular speed of a rotating platform changes from ω0 = 2.6 rad/s to ω = 8.8 rad/s at a constant rate as the platform moves through an angle Δθ = 4.5 radians. The platform has a radius of R = 44 cm. Calculate the angular acceleration of the platform α in rad/s2.A fan blade is rotating with a constant angular acceleration of +9.6 rad/s?. At what point on the blade, as measured from the axis of rotation, does the magnitude of the tangential acceleration equal that of the acceleration due to gravity? r = i
- A ceiling fan is rotating counterclockwise with a constant angular acceleration of 0.50? rad/s2 about a fixed axis perpendicular to its plane and through its center. Assume the fan starts from rest. (a) What is the angular velocity of the fan after 2.0 s? (Enter the magnitude.) rad/s (b) What is the angular displacement of the fan after 2.0 s? (Enter the magnitude.) rad (c) How many revolutions has the fan gone through in 2.0 s? revA 42.0-cm diameter disk rotates with a constant angular acceleration of 3.00 rad/s2. It starts from rest at t = 0, and a line drawn from the center of the disk to a point P on the rim of the disk makes an angle of 57.3° with the positive x-axis at this time. (a) At t = 2.32 s, find the angular speed of the wheel. rad/s (b) At t = 2.32 s, find the magnitude of the linear velocity and tangential acceleration of P. linear velocity m/s tangential acceleration m/s2 (c) At t = 2.32 s, find the position of P (in degrees, with respect to the positive x-axis). _________° counterclockwise from the +x-axisA bar on a hinge starts from rest and rotates with an angular acceleration a = 10 + 6t, where a is in rad/s2 and t is in seconds. Determine the angle in radians through which the bar turns in the first 4.00 s.