Get the solution to "A 200 g block on a 50-cm-long string..."

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Kathy Williams

Answered question

2022-01-06

A 200 g block on a 50-cm-long string swings in a circle on a horizontal, frictionless table at 75 rpm.
a. What is the speed of the block? b. What is the tension in the string?

Answer & Explanation

peterpan7117i

Beginner2022-01-07Added 39 answers

Given:

r = 50 c m = 0.5 m

m = 200 g = 0.2 k g

ω = 75 r \pm

a)Firstly, convert all units in SI

ω = 75 r \pm

ω = 75 \frac{2 π r a d}{60 s}

ω = 75 \frac{2 \times 3.14 r a d}{60 s}

= 7.85 \frac{r a d}{s}

Find the speed from the equation

v = r ω

v = 0.5 m \times 7.85 \frac{r a d}{s}

v = 3.925 \frac{m}{s}

b)According to the Newtons

abonirali59

Beginner2022-01-08Added 35 answers

If you want only the answers:
a)

v = 3.925 \frac{m}{s}

T = 6.16225 N

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