Question

In: Physics

Consider an aluminum annular disk with an outer radius 63.2 mm and inner radius 7.9 mm....

Consider an aluminum annular disk with an outer radius 63.2 mm and inner radius 7.9 mm. The mass of the disk is 464 grams (HINT: the parameters of the disk are the same as in the previous pre-lab).

The disk is allowed to rotate on a frictionless table with the rotation axis at its center. The disk has a small pulley rigidly mounted at the top concentrically. The pulley's radius is 12.1 mm, and the mass of the pulley is negligible. A string is wrapped around the pulley, and a hanging mass of 19.8 g is tied at the other end of the string. When the mass falls under gravity, it causes the aluminum annular disk to rotate. Ignore the string's mass, and assume that the string's motion is frictionless.

What is the angular speed of the aluminum disk when the mass has fallen 14.5 cm?
ω = _____ rad/s

How long does it take for the mass to reach this point?

t= _____s

Solutions

Expert Solution

genius_generous answered 1 year ago
Next > < Previous

Related Solutions

A disk with outer radius ro = 150 mm and inner radius ri = 25 mm...
A disk with outer radius ro = 150 mm and inner radius ri = 25 mm is press-fitted onto a shaft of radius 25.075 mm. Both members are steel with Young’s modulus, E = 205 GPa, Poisson’s ratio, ? = 0.29, and density, ? = 7845 kg·m-3. Determine and plot the radial and tangential stress distributions in the disk and shaft when it is rotating at 5000 rpm. Under the above conditions, what is the magnitude of the Von Mises...
A long, hollow, cylindrical conductor (inner radius 2.4 mm, outer radius 4.4 mm) carries a current...
A long, hollow, cylindrical conductor (inner radius 2.4 mm, outer radius 4.4 mm) carries a current of 45 A distributed uniformly across its cross section. A long thin wire that is coaxial with the cylinder carries a current of 24 A in the opposite direction. What is the magnitude of the magnetic field (a) 1.4 mm, (b) 2.6 mm, and(c) 4.7 mm from the central axis of the wire and cylinder?
3. Assume an annulus of inner radius r1 and outer radius r2. The inner surface is...
3. Assume an annulus of inner radius r1 and outer radius r2. The inner surface is at T1, the outer surface at T2, T1 > T2. Assume heat transfer between the surfaces by conduction, with a variable conductivity, k = a + bT, develop an expression for the temperature in the material of the annulus.
A hollow, conducting sphere with an outer radius of .250 m and an inner radius of...
A hollow, conducting sphere with an outer radius of .250 m and an inner radius of .200 m has a uniform surface charge density of -6.37 muC/me2.When a charge is now introduced at the center of the cavity inside the sphere, the new charge density on the outside of the sphere is -4.46 muC/me2. What is the charge at the center of the cavity?
A hollow, conducting sphere with an outer radius of 0.240 m and an inner radius of...
A hollow, conducting sphere with an outer radius of 0.240 m and an inner radius of 0.200 m has a uniform surface charge density of +6.37 × 10−6 C/m2. A charge of -0.400 μC is now introduced into the cavity inside the sphere. What is the new charge density on the outside of the sphere? Express your answer with the appropriate units. Calculate the strength of the electric field just outside the sphere. Express your answer with the appropriate units....
A nonconducting spherical shell of inner radius a = 2.00 cm and outer radius b =...
A nonconducting spherical shell of inner radius a = 2.00 cm and outer radius b = 2.40 cm has (within its thickness) a positive volume charge density p = A/r, where A is a constant and r is the distance from the center of the shell. In addition, a small ball of charge q = 4.5 x 10 ^ -14 C is located at the center of that center. Find the total charge of the shell.
A small conducting spherical shell with inner radius a and outer radius b is concentric with...
A small conducting spherical shell with inner radius a and outer radius b is concentric with a larger conducting spherical shell with inner radius c and outer radius d. The inner shell has a total charge of -1q and the outer shell has a total charge of +3q. Select True or False for the following statements. 1. The total charge on the inner surface of the small shell is -4q. 2. The total charge on the outer surface of the...
A small conducting spherical shell with inner radius a and outer radius b is concentric with...
A small conducting spherical shell with inner radius a and outer radius b is concentric with a larger conducting spherical shell with inner radius c and outer radius d. The inner shell has a total charge of -2q and the outer shell has a total charge of +4q. Select True or False for the following statements. The total charge on the inner surface of the small shell is zero. True False  The total charge on the inner surface of the large...
A long straight cylindrical shell has an inner radius Ri and an outer radius R0.
A long straight cylindrical shell has an inner radius Ri and an outer radius R0. It carries a current I, uniformly distributed over its cross section. A wire is parallel to the cylinder axis, in the hollow region (r < Ri). The magnetic field is zero everywhere outside the shell (r > R0).We conclude that the wire: A) is on the cylinder axis and carries current I in the same direction as the current in the shell B) may be anywhere in...
A solid spherical shell with a 12.0 cm inner radius and 15.0 cm outer radius is...
A solid spherical shell with a 12.0 cm inner radius and 15.0 cm outer radius is filled with water. A heater inside the water maintains the water at a constant temperature of 350 K. The outer surface of the shell is maintained at 280 K. The shell is made of Portland cement, which has a thermal conductivity of 0.29 W/(mK). (a) Starting from the basic equation for thermal conduction, derive the rate at which heat flows out of the water....
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT