A 300 g block on a 56.0 cm-long string swings in a circle on a...

Harold Kessler

Harold Kessler

Answered

2022-01-14

A 300 g block on a 56.0 cm-long string swings in a circle on a horizontal, frictionless table at 90.0 rpm.
A) What is the speed of the block?
B) What is the tension on the string?

Answer & Explanation

scoollato7o

scoollato7o

Expert

2022-01-19Added 26 answers

The angular speeed is, 
ω=90.0 rpm 
=90(2π60) rad/s 
=9.425rad/s 
b) The centripetal force acting on the block must counterbalance the force of tension.. 
T=mv2r 
=300(1031.0)(5.28)0.56 
=14.93 N

RizerMix

RizerMix

Expert

2022-01-20Added 437 answers

The angular speeed is, ω=90.0 r\pm =90((2π)/(60)) rad/s =9.425rad/s a) The speed of the block is, v=ωr =(9.425)rad/s(56 cm((10(2) m)/(1.0 cm)) =5.38 m/s
alenahelenash

alenahelenash

Expert

2022-01-23Added 366 answers

a) w=7023.14/60=7.327(rad)/s v=wr=7.3270.6=4.396m/s b) T=(mv2)/r=0.264.3962/0.6=8.374N

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