You are on a development team investigating a new design forcomputer magnetic di

Question

You are on a development team investigating a new design forcomputer magnetic disk drives. You have been asked to determine ifthe standard disk drive motor will be sufficient for the testversion of the new disk. To do this you decide to calculate howmuch energy is needed to get the 6.4 cm diameter, 15 gram disk toits operating speed of 350 revolutions per second. The test diskalso has 4 different sensors attached to its surface. These smallsensors are arranged at the corners of a square with sides of 1.2cm. To assure stability, the center of mass of the sensor array isin the same position as the center of mass of the disk. The disk'saxis of rotation also goes through the center of mass. You knowthat the sensors have masses of 1.0 grams, 1.5 grams, 2.0 grams,and 3.0 grams. The moment of inertia of your disk is one-half thatof a ring.
Can you please help me with this problem. I have to know whatI need to get answer and the solution to the problem. I have noclue how to even answer this problem. Thanks for helping You are on a development team investigating a new design forcomputer magnetic disk drives. You have been asked to determine ifthe standard disk drive motor will be sufficient for the testversion of the new disk. To do this you decide to calculate howmuch energy is needed to get the 6.4 cm diameter, 15 gram disk toits operating speed of 350 revolutions per second. The test diskalso has 4 different sensors attached to its surface. These smallsensors are arranged at the corners of a square with sides of 1.2cm. To assure stability, the center of mass of the sensor array isin the same position as the center of mass of the disk. The disk'saxis of rotation also goes through the center of mass. You knowthat the sensors have masses of 1.0 grams, 1.5 grams, 2.0 grams,and 3.0 grams. The moment of inertia of your disk is one-half thatof a ring.
Can you please help me with this problem. I have to know whatI need to get answer and the solution to the problem. I have noclue how to even answer this problem. Thanks for helping

Explanation / Answer

The energy is 1/2*I*^2 where I is 1/2*m*r^2 (disk) + Isensors Now the distance for each sensor to the axis of rotation issqrt(0.06^2 + 0.06^2) = 0.08485 So I = 1/2*0.015*(3.2x10^-2)^2 + 0.0015*0.08485^2 +0.0010*0.08485^2 + 0.0020*0.08485^2 + 0.0030x0.08485^2 =6.17x10^-5kg-m^2 = 350*2* = 2199rad/s So K = 1/2*6.17x10^-5*2199^2 = 149J

Related Questions

Navigate

• Browse (All)
• Browse Y
• Subjects

---

---

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