## What is the Speed and Tension?

**A 260 g block on a 60 cm-long string swings in a circle on a horizontal, frictionless table at 60 rpm.**

**1) What is the speed of the block?**

**Known variables:**

**Mass (m):** 260 g or **.26 kg**

**Radius (r): **60 cm or *.**6m*

*Period (T): 60 rpm*

**Speed Equation**

**v** = ω r

**Convert to radians**

**ω =** 60 rpm

**Angular Velocity:**

**ω**=2π/**T**

60 x 2π/**60** = 6.283 rad/s

**v **= ω r

**v =** 6.283 * 0.60 = 3.7699 m/s

**v=**3.8m/s

**2) What is the tension in the string?**

**Equations for Tension:**

**T =** mv²/r

**0.26 x (3.7699²) / 0.60**

**T =** 6.2 N

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