A flywheel of 22 cm is rotating counterclockwise about an axle at an angular speed of 1950 rpm. What is the vector expression for the centripetal acceleration (in m/s²) of a point that is located at a distance 13.2 cm from the center along a ray that makes an angle 155 degrees with the horizontal? Answer x-component= 5.02 Response mismatch -Answer· y-component= -2.34 Response mismatch < >
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- A sprinter participating in the 200 m dash has to run around a track that has a circular arc with a radius of curvature of 26 m. She completes the 200 m dash in 22.8 seconds at constant speed throughout the race. a) What is the magnitude of her centripetal acceleration in m/s2 as she runs the curved portion of the track? b) What is the magnitude of her tangential acceleration in m/s2 as she runs the curved portion of the track? c) What is the magnitude of her angular acceleration in rad/s2 as she runs the curved portion of the track? d) What is the magnitude of her resultant linear acceleration in m/s2 as she runs the curved portion of the track?Answer a and cA child is holding a string with a ball tied at the end. The childspins around in a circle causing the ball to travel in uniformcircular motion. While doing this, the 1.3 m long string makesa 48.8◦angle below horizontal. What is the tangential speedof the ball? Solution provided is incorrect. Answer should be v=2.7m/s
- How fast (in rpm) must a centrifuge rotate if a particle 7.5 cm from the axis of rotation is to experience an acceleration of 2.0×105 g's? Express your answer using two significant figures.A centrifuge is a common laboratory instrument that separates components of differing densities in solution. This is accomplished by spinning a sample around in a circle with a large angular speed. Suppose that after a centrifuge in a medical laboratory is turned off, it continues to rotate with a constant angular deceleration for 10.7s before coming to rest.How many revolutions did the centrifuge complete after being turned off?Δθ= (?) revA centrifuge in a biochemistry laboratory rotates at an angular speed of 3,650 rev/min, clockwise (when viewed from above). When switched off, it rotates through 48.0 revolutions before coming to rest. Assuming it is constant, what is the magnitude of angular acceleration (in rad/s²)? rad/s² What is the direction of the angular acceleration (again, when viewed from above)? clockwise оо counterclockwise The magnitude is zero.
- How fast (in rpm) must a centrifuge rotate if a particle 6.7 cm from the axis of rotation is to experience an acceleration of 200000 g’s? Express your answer using two significant figuresDraw a vector diagram that shows the tangential velocity and the centripetal acceleration of the object traveling in a circle.At its peak, a tornado is 62.0 m in diameter and carries 120 km/h winds. What is its angular velocity in revolutions per second? rev/s