A conical pendulum is a weight or bob fixed on the end of a string suspended fro

Question

A conical pendulum is a weight or bob fixed on the end of a string suspended from a pivot. It moves in a horizontal circular path, as shown in the diagram below. (a) What is the tension in the string? (Use the following as necessary: m, g, and (b) what is the centripetal acceleration of the bob? (Use the following as necessary: g, and ac = (c) Suppose the bob has a mass of 0.43 kg, the length of the pendulum is 0.70 m and the angle that it swings at is 16°. What is the magnitude of the centripetal acceleration? m/s2 (d) What is the radius of the horizontal circular path? (e) What is the speed of the mass? m/s

Explanation / Answer

a)Let the tension in string be T

From vertical equilibrium of bob,

Tcos(theta)=mg

T=mg/cos(theta)

b)Tsin(theta)=mv²/r

v²/r=Tsin(theta)/m

=mgtan(theta)/m=gtan(theta)

Centrifugal acceleration=gtan(theta)

c)centripetal acceleration=gtan(theta)=9.8*tan(16)=2.81 m/s²

d)radius of horizontal path =Lsin(theta)=0.7sin(16)=0.19 m

e)v²/r=2.81

v²=2.81*0.19

v=0.73 m/s

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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