A long string is wrapped around a 6.5-cm-diameter cylinder, initially at rest, that is free to rotate on an axle. The string is then pulled with a constant acceleration of 1.5 m/s^2 until 1.1 m of string has been unwound. If the string unwinds without slipping, what is the cylinder's angular speed, in rpm, at this time?
Express your answer to two significant figures and include the appropriate units.
A long string is wrapped around a 6.5-cm-diameter cylinder, initially at rest, that is free to...
A string is wrapped around a uniform solid cylinder of radius r, as shown in (Figure 1). The cylinder can rotate freely about its axis. The loose end of the string is attached to a block. The block and cylinder each have mass m. Find the magnitude alpha of the angular acceleration of the cylinder as the block descends. Express your answer in terms of the cylinder's radius r and the magnitude of the acceleration due to gravity g.
Please Answer it A string is wrapped around a uniform solid cylinder of radius r, as shown in (Figure 1). The cylinder can rotate freely about its axis. The loose end of the string is attached to a block. The block and cylinder each have mass m. Find the magnitude alpha of the angular acceleration of the cylinder as the block descends. Express your answer in terms of the cylinder's radius r and the magnitude of the acceleration due to...
A string is wrapped around a uniform solid cylinder of radius r, as shown in (Figure 1). The cylinder can rotate freely about its axis. The loose end of the string is attached to a block. The block and cylinder each have mass m. Part A. Find the magnitude α of the angular acceleration of the cylinder as the block descends. Express your answer in terms of the cylinder's radius r and the magnitude of the acceleration due to gravity...
A string is wrapped around a uniform solid cylinder of radius , r as shown in the figure (Figure 1) . The cylinder can rotate freely about its axis. The loose end of the string is attached to a block. The block and cylinder each have mass m. Note that the positive y direction is downward and counterclockwise torques are positive. Find the magnitudeof the angular acceleration of the cylinder as the block descends. Express your answer in terms of...
A string is wrapped around a uniform solid cylinder of radius , r as shown in the figure (Figure 1) . The cylinder can rotate freely about its axis. The loose end of the string is attached to a block. The block and cylinder each have mass m. Note that the positive y direction is downward and counterclockwise torques are positive. Find the magnitudeof the angular acceleration of the cylinder as the block descends. Express your answer in terms of...
A string is wrapped around a uniform solid cylinder of radius r, as shown in the figure (Figure 1) . The cylinder can rotate freely about its axis. The loose end of the string is attached to a block. The block and cylinder each have mass m. Note that the positive y direction is downward and counterclockwise torques are positive. Find the magnitude α of the angular acceleration of the cylinder as the block descends. Express your answer in terms...
A 2.7-kg 12-cm-radius cylinder, initially at rest, is free to rotate about the axis of the cylinder. A rope of negligible mass is wrapped around it and pulled with a force of 18 N. (a) Find the magnitude of the torque exerted by the rope. N · m (b) Find the angular acceleration of the cylinder. rad/s2 (c) Find the angular velocity of the cylinder at t = 0.70 s. rad/s
6. A 25-kg solid cylinder with a radius of 11 cm, initially at rest, is free to rotate about the axis of the cylinder. A rope of negligible mass is wrapped around it and pulled with a force of 17 N. Assuming that the rope does not slip, determine the following a) The torque exerted on the cylinder by the rope b) The angular acceleration of the cylinder c) The angular speed of the cylinder after 0.5 s
A cord is wrapped around a spool with radius 20 cm. The spool is free to rotate about an axle that lies along the x-axis in some coordinate system. The cord is pulled without slipping in the +y direction with velocity v = v_0 + k_0t^2, where v_0 = 5 cm/s and k_0 = 0.1 cm/s^3. Using vector notation, compute the angular velocity and angular acceleration of the spool.
PartA A light string is wrapped around the outer rim of a solid uniform cylinder of diameter 75.0 cm that can rotate without friction about an axle through its center. A 3.00 kg stone is tied to the free end of the string, as shown in the figure (Figure 1) When the system is released from rest, you determine that the stone reaches a speed of 3.50 m/s after having fallien 2.50m What is the mass of the cylinder? kg...