An advertising sign for the Lucky Five Casino is made of a 1 inch thick sheet of

Question

An advertising sign for the Lucky Five Casino is made of a 1 inch thick sheet of aluminum with five identical holes cut in it to make it look like a five on a die. The sign is then mounted on a pole with a motor to rotate the sign. Aluminum has a density of 5.25 slug/ft3 When first turned on the motor torque is T = 2.27sin(?t/10). From 10 seconds on a controller causes the motor to rotate the sign at a constant RPM. (a) What is the angular acceleration at t = 7.5 s? (b) What is the angular velocity at t = 10 s?

2.)A 50 kg winding drum 75 cm in diameter is used to reel in cable. It is moving at the rate of 2 revolutions per second. The rotation rate then increases by 5.25 rad/s2 for the next 1.5 seconds. It rotates at the new rate for three seconds. Finally it comes to a stop in one half a rotations. What was the total length of cable coiled around the drum during the entire time?

Explanation / Answer

An advertising
                sign for the Lucky Five Casino is made of a 1 inch thick sheet of aluminum with five identical holes cut in it to make it look like a five on a die. The sign is
                then mounted on a pole with a motor to rotate the sign. Aluminum has a density of 5.25 slug/ft3 When first turned on the motor torque is T = 2.27sin(pt/10). From
                10 seconds on a controller causes the motor to rotate the sign at a constant RPM. (a) What is the angular acceleration at t = 7.5 s? (b) What is the angular
                velocity at t = 10 s?
                
                Correct answers are a).0807 rad/s^2 b) .363 rad/s

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.