A solid cylinder rolls down an incline at 41° from rest. (a) What is its acceleration (in m/s2)? (Enter the magnitude.) m/s² (b) How far (in m) does it go in 3.9 s?
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- The end of the cutting cord on a gas-powered weed cutter is 0.21 m in length. If the motor starts from rest and accelerates with an angular acceleration of 52 rad/s² for 1.82 s then continues with uniform angular velocity. What is the rpm of the cutting cord after the 1.82 s?An airplane propeller is rotating at 1900 rpm 1rev/min2. (a)Computethe propeller’s angular velocity in rad/s. (b) How many secondsdoes it take for the propeller to turn through 35°?A centrifuge in a forensics laboratory rotates at an angular speed of 3,750 rev/min. When switched off, it rotates 54.0 times before coming to rest. Find the constant angular acceleration of the centrifuge (in rad/s). Consider the direction of the initial angular velocity to be the positive direction, and include the appropriate sign in your result. |rad/s2
- A car makes a circular curve and travels a 45 ° arc in 2 seconds.a) What is the angular velocity (rad/s)?b) How long would it take to complete a circle (the period of the movement)?c)What is the frequency of this circular motion (Hz)?A flywheel is rotating at 36.5 rev/s.What is the total angle, in radians, through which a point on the flywheel rotates in 29.7 s?A uniform solid cylindrical log begins rolling without slipping down a ramp that rises 26.8° above the horizontal. After it has rolled 7 m along the ramp, what is the magnitude of its linear acceleration? Express your answer in m/s², to at least one digit after the decimal point.
- Please answer the following question(s): 1. A helicopter blade spins at exactly 130 revolutions per minute. Its tip is 5.00 m from the center of rotation. Hint: What is the shape of the path described by the helicopter blade? How do you find the length of this path? (a) What is the total distance traveled by the tip per minute? Enter to 3 significant figures Distance: m (b) What is the average speed of the tip of the blade? Enter to 3 significant figures Average speed: m/s (c) What is the average velocity over one revolution? Enter to 3 significant figures Average velocity: m/sThe center O of the wheel is mounted on the sliding block, which has an acceleration ao = 7.1 m/s² to the right. At the instant when 0 = 39°, 0 = 3.3 rad/s and 0 = -6.7 rad/s². For this instant determine the magnitudes of the accelerations of points A and B. 8 Answers: aA = ав A i i 340. mm B ao m/s² m/s²If a centrifuge has an inital angular velocity of 20 rotations per second and and a constant angular acceleration of 15 rad/s2 how fast is it rotating after 25 rotations in rotations per second.
- An electric motor rotating a workshop grinding wheel at a rate of 151rev/min is switched off. Assume constant angular deceleration of magnitude 2.93 rad/s2. Through how many revolutions does the wheel turn before it finally comes to rest?I need help on this question: You are driving on a horizontal circular road of radius 50.0 m at a constant speed of 11.17 m/s. How much time does it take to complete 10 rounds?What is your angular velocity? When you are at the northern most point on the road, what is the magnitude and direction of your acceleration?Please explain and list the formulas used.