A conical pendulum is a mass suspended from a point that traces out a horizontal circle. By balancing the weight with the tension in the string, determine the speed of the bob.

Draw a free-body diagram for the mass with the pendulum suspended at an angle θ to the vertical. The tension in the rope is T and the radius of the circle is r.
Firstly, resolve horizontal forces and equate to the centripetal force: Tsinθ = mv^2/r (1), where v is the speed of the bob . Resolve vertical forces Tcosθ-mg = 0 --> Tcosθ = mg (2). Divide (1) and (2) to eliminate T --> sinθ/cosθ = tanθ = v^2/rg. Rearrange for v to get v = (rgtanθ)^1/2.

Answered by Daniel S. Physics tutor

2325 Views

See similar Physics A Level tutors

Related Physics A Level answers

All answers ▸

A projectile is fired out of a cannon at 50 km/s, at an angle of 30 degrees and an elevation of 10m from the ground. How long does it take for the projectile to hit the ground?


Derive the kinetic theory equation pV=Nm/3(crms2) for an ideal gas.


A yacht is sailing through water that is flowing due west at 2m/s. The velocity of the yacht relative to the water is 6m/s due south. The yacht has a resultant velocity of V m/s on a bearing of theta. Find V and theta


3 resistors, R1, R2 and R3 are attached in parallel across a 6V cell with resistances 3, 4 and 5 Ohms respectively. Calculate the current across each resistor.


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences