PSAT Math Multiple-Choice Question 526: Answer and Explanation

Question: 526

The formula for determining the angular speed, ω, of an object at an angular acceleration, α, is ω = ω₀ + αt, where ω₀ is the initial angular speed and t is the time. Which formula represents α in terms of ω, ω₀, and t?

• A.
• B. α = ω – ω₀ – t
• C. α = ω – ω₀ + t
• D.

Correct Answer: D

Explanation:

D

The question asks for an equation in terms of a specific variable. Although there are variables in the answer choices, plugging in on this question would be difficult because of the number of different variables. Instead, solve for α. To begin to isolate α, subtract ω₀ from both sides of the equation to get ω – ω₀ = αt. Divide both sides by t to get . The correct answer is (D).