---
title: "A car is moving up the side of a circular roller coaster loop of radius \\( 12 \\) \\( \\text{m} \\). The angular velocity is \\( 1.8 \\) \\( \\text{rad/s} \\) and angular acceleration is \\( -0.82 \\) \\( \\text{rad/s}^2 \\). The car is at the same elevation as the center of the loop. Find the magnitude and direction of the acceleration."
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url: "https://nerd-notes.com/ubq/28536/"
date_modified: "2025-03-14T04:01:58+00:00"
---

# A car is moving up the side of a circular roller coaster loop of radius \( 12 \) \( \text{m} \). The angular velocity is \( 1.8 \) \( \text{rad/s} \) and angular acceleration is \( -0.82 \) \( \text{rad/s}^2 \). The car is at the same elevation as the center of the loop. Find the magnitude and direction of the acceleration.

A car is moving up the side of a circular roller coaster loop of radius \( 12 \) \( \text{m} \). The angular velocity is \( 1.8 \) \( \text{rad/s} \) and angular acceleration is \( -0.82 \) \( \text{rad/s}^2 \). The car is at the same elevation as the center of the loop. Find the magnitude and direction (relative to the horizontal) of the acceleration.

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/28536/*