Answered

Westonci.ca offers fast, accurate answers to your questions. Join our community and get the insights you need now. Explore a wealth of knowledge from professionals across different disciplines on our comprehensive platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

A 300 g block on a 56-cm-long string swings in a
circle on a horizontal, frictionless table at 70 rpm.

What is the speed of the block?
Express your answer using two significant figures.

What is the tension in the string?
Express your answer using two significant figyres.

Sagot :

leena

Hi there!

We can begin by converting rpm to tangential velocity.

1 rotation = 2πR

Convert min to sec: 1 min = 60 sec

[tex]\frac{70rev}{min} * \frac{2(0.56)\pi m} {1rev} * \frac{1 min}{60 s} = \boxed{4.11 \frac{m}{s}}}[/tex]

We can find the tension by using the equation for Centripetal motion.

[tex]T = \frac{mv^2}{r}[/tex]

T = Tension (? N)
m = mass (.3 kg)
v = velocity (4.11 m/s)

r = radius (0.56 m)

Plug in the values:

[tex]T = \frac{.3(4.11^2)}{0.56} \approx \boxed{90.27 N}[/tex]

Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.