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

2327 Views

See similar Physics A Level tutors

Related Physics A Level answers

All answers ▸

Electrons moving in a beam have the same de Broglie wavelength as protons moving in a separate beam. The proton beam moves at a speed of 3.1 x 10^4 m/s. What is the speed of the electrons?


Where does the formula for gravitational potential come from? Why the minus sign?


A stationary observer Bob, observes Alice take 5 seconds to travel from point A to B at 0.95c. How much time does Alice measure the journey from A to B to take?


Explain how a standing wave is set up on a string fixed at both ends.


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