---
title: "Young David experimented with slings before tackling Goliath. He found that he could develop an angular speed of \\( 8.0 \\) \\( \\text{rev/s} \\) in a sling \\( 0.60 \\) \\( \\text{m} \\) long. If he increased the length to \\( 0.90 \\) \\( \\text{m} \\), he could revolve the sling only \\( 6.0 \\) times per second. (a) Which angular speed gives the greater linear speed? (b) What is the centripetal acceleration at \\( 8.0 \\) \\( \\text{rev/s} \\)? (c) What is the centripetal acceleration at \\( 6.0 \\) \\( \\text{rev/s} \\)?"
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url: "https://nerd-notes.com/ubq/91137/"
date_modified: "2025-05-06T22:40:57+00:00"
---

# Young David experimented with slings before tackling Goliath. He found that he could develop an angular speed of \( 8.0 \) \( \text{rev/s} \) in a sling \( 0.60 \) \( \text{m} \) long. If he increased the length to \( 0.90 \) \( \text{m} \), he could revolve the sling only \( 6.0 \) times per second. (a) Which angular speed gives the greater linear speed? (b) What is the centripetal acceleration at \( 8.0 \) \( \text{rev/s} \)? (c) What is the centripetal acceleration at \( 6.0 \) \( \text{rev/s} \)?

Young David experimented with slings before tackling Goliath. He found that he could develop an angular speed of \( 8.0 \) \( \text{rev/s} \) in a sling \( 0.60 \) \( \text{m} \) long. If he increased the length to \( 0.90 \) \( \text{m} \), he could revolve the sling only \( 6.0 \) times per second.

**Part a)** Which angular speed gives the greater linear speed? *(3 points)*

**Part b)** What is the centripetal acceleration at \( 8.0 \) \( \text{rev/s} \)? *(3 points)*

**Part c)** What is the centripetal acceleration at \( 6.0 \) \( \text{rev/s} \)? *(3 points)*


*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/91137/*