A rope is wrapped around a wheel of diameter 50 cm. The wheel ismounted. With fr

Question

A rope is wrapped around a wheel of diameter 50 cm. The wheel ismounted. With friction less bearings on an axle through its center.A block of 15 kg is suspended from the end of the robe. When thesystem is released from rest the block falls 5.0 meters in 2seconds

1. What is the linear acceleration of the falling block?

2. What is the angular acceleration of the wheel, assuming the ropedosent slip on the wheel

3. What is the tension in the rope?

4. What is the moment of inertia of the wheel? Note this should becalculated from data in the problem and not from the formula for Iof a disk or hoop

Please show all work and formulas thank you

Explanation / Answer

A rope is wrapped around a wheel of diameter 50 cm. The wheel ismounted. With friction less bearings on an axle through its center.A block of 15 kg is suspended from the end of the robe. When thesystem is released from rest the block falls 5.0 meters in 2seconds 1. What is the linear acceleration of the falling block? a=2/3g=2/3*9.8=6.533m/sec2 2. What is the angular acceleration of the wheel, assuming the ropedosenot slip on the wheel =a/R=6.533/0.25=26.13rad/sec2 3. What is the tension in the rope? mg/3=15*9.8/3=49N 4. What is the moment of inertia of the wheel? 2T/=3.7504kgm2

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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