Posted by **Robert** on Thursday, December 19, 2013 at 9:16am.

A conical pendulum is formed by attaching a 50 g mass to a 1.2m string. The mass swings around a circle of radius 25cm. A claculate the speed of the mass. B Calculate the acceleration of the mass. C calculate the tension in the string

- Physics AP -
**Elena**, Thursday, December 19, 2013 at 4:25pm
cos φ=0.25/1.2 =0.208 => φ=78°

sinφ=0.98, tan φ=4.7.

x: ma=Tcosφ

y: 0=Tsinφ-mg

a=v²/R,

Tsinφ=mg

Tcosφ= mv²/R

Tsinφ/Tcosφ= mgR/ mv²

tanφ= gR/v²

v=sqrt{gR/tanφ}=sqrt(9.8•0.25/4.7) =0.72 m/s

a= v²/R=0.72²/0.25=2.1 m.s²

T=mg/sinφ=0.05•9.8/0.98 = 0.5 N

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