DATA You are analyzing the motion of a large flywheel that has radius 0.800 m. In one test run, the wheel starts from rest and turns with constant angular acceleration . An accelerometer on the rim of the flywheel measures the magnitude of the resultant acceleration a of a point on the rim of the flywheel as a function of the angle θ – θ 0 through which the wheel has turned. You collect these results: Construct a graph of a 2 (in m 2 /s 4 ) versus ( θ – θ 0 ) 2 in (rad 2 ). (a) What are the slope and y -intercept of the straight line that gives the best fit to the data? (b) Use the slope from part (a) to find the angular acceleration of the flywheel, (c) What is the linear speed of a point on the rim of the flywheel when the wheel has turned through an angle of 135°? (d) When the flywheel has turned through an angle of 90.0°, what is the angle between the linear velocity of a point on its rim and the resultant acceleration of that point?
DATA You are analyzing the motion of a large flywheel that has radius 0.800 m. In one test run, the wheel starts from rest and turns with constant angular acceleration . An accelerometer on the rim of the flywheel measures the magnitude of the resultant acceleration a of a point on the rim of the flywheel as a function of the angle θ – θ 0 through which the wheel has turned. You collect these results: Construct a graph of a 2 (in m 2 /s 4 ) versus ( θ – θ 0 ) 2 in (rad 2 ). (a) What are the slope and y -intercept of the straight line that gives the best fit to the data? (b) Use the slope from part (a) to find the angular acceleration of the flywheel, (c) What is the linear speed of a point on the rim of the flywheel when the wheel has turned through an angle of 135°? (d) When the flywheel has turned through an angle of 90.0°, what is the angle between the linear velocity of a point on its rim and the resultant acceleration of that point?
DATA You are analyzing the motion of a large flywheel that has radius 0.800 m. In one test run, the wheel starts from rest and turns with constant angular acceleration. An accelerometer on the rim of the flywheel measures the magnitude of the resultant acceleration a of a point on the rim of the flywheel as a function of the angle θ – θ0 through which the wheel has turned. You collect these results:
Construct a graph of a2 (in m2/s4) versus (θ – θ0)2 in (rad2). (a) What are the slope and y-intercept of the straight line that gives the best fit to the data? (b) Use the slope from part (a) to find the angular acceleration of the flywheel, (c) What is the linear speed of a point on the rim of the flywheel when the wheel has turned through an angle of 135°? (d) When the flywheel has turned through an angle of 90.0°, what is the angle between the linear velocity of a point on its rim and the resultant acceleration of that point?
Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .
After the countdown at the beginning of a Mario Kart race, Bowser slams on the gas, taking off from rest. Bowser get up to a full speed of 25.5 m/s due to an acceleration of 10.4 m/s2. A)How much time does it take to reach full speed? B) How far does Bowser travel while accelerating?
The drawing in the image attached shows an edge-on view of two planar surfaces that intersect and are mutually perpendicular. Side 1 has an area of 1.90 m^2, Side 2 has an area of 3.90 m^2, the electric field in magnitude is around 215 N/C. Please find the electric flux magnitude through side 1 and 2 combined if the angle (theta) made between the electric field with side 2 is 30.0 degrees. I believe side 1 is 60 degrees but could be wrong. Thank you.
After the countdown at the beginning of a Mario Kart race, Bowser slams on the gas, taking off from rest. Bowser get up to a full speed of 25.5 m/s due to an acceleration of 10.4 m/s2.
Chapter 9 Solutions
University Physics, Volume 2 - Technology Update Custom Edition for Texas A&M - College Station, 2/e
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
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