A particle moves in a horizontal circle of radius 36 cm with a speed of 5 m/s. If it is decelerated uniformly at the rate of 0.14 m/s², what is the magnitude of the angular acceleration of the particle ?
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A: Given that:α=0.20 rad/s2t=3.0 s
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Q: A fan blade is rotating with a constant angular acceleration of + 10.0 rad/s². At what point on the…
A: Solution:-Given thatConstant Angular acceleration (α)=+10 rad/s2Fan blade is rotating
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- 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?At time t=0, the angular velocity of a wheel is 4.55 rad/s. The wheel is accelerating with constant angular acceleration -7.42 rad/s2. After 0.386 s, find the magnitude of the linear acceleration (in m/s2) of a point on the wheel a distance 0.500 m from the axis of rotation.An object rotates about a fixed axis, and the angular position of a reference line on the object is given by θ = 0.580e6t, where θ is in radians and t is in seconds. Consider a point on the object that is 7.00 cm from the axis of rotation. At t = 0, what are the magnitudes of the point's (a) tangential component of acceleration and (b) radial component of acceleration?
- 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 disk drive with a radius of 0.065 m starts rotating from rest with a constant angular acceleration. It takes 2 minutes and 50 seconds to complete ten revolutions. What is the linear (transitional) displacement of the rim of the disk drive after ten revolutions?Starting from rest, an airplane propeller begins to rotate with an angular acceleration a = 0.0600 rad/s2. The propeller radius is 60.0 cm. After exactly 4.00 seconds, calculate the total linear acceleration of the tip of the propeller. (The total linear acceleration is the vector combination of the tangential acceleration and the centripetal acceleration.) r= 60.0 cm
- A motorcycle accelerates uniformly from rest and reaches a linear speed of 22.4 m/s in a time of 9.06 s. The radius of each tire is 0.287 m. What is the magnitude of the angular acceleration of each tire?A 45.0-cm diameter disk rotates with a constant angular acceleration of 2.50 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. At t = 30 s, find d. the position of P (in degrees, with respect to the positive x-axis).