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A laboratory centrifuge rotates at 1500 revolutions per minute - Edexcel - A-Level Physics - Question 2 - 2023 - Paper 4

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A laboratory centrifuge rotates at 1500 revolutions per minute. Which of the following expressions gives the angular velocity in radians per second? A) 1500 60... show full transcript

Worked Solution & Example Answer:A laboratory centrifuge rotates at 1500 revolutions per minute - Edexcel - A-Level Physics - Question 2 - 2023 - Paper 4

Step 1

Identify the formula for angular velocity

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Answer

Angular velocity in radians per second can be calculated with the formula:

ext{Angular Velocity} = rac{ ext{Revolutions per minute} imes 2 heta}{ ext{Time in minutes}}

Where heta heta is equal to 1 full revolution equating to 2heta=2extπ2 heta = 2 ext{π} radians.

Step 2

Calculate the angular velocity

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Answer

To find the angular velocity:

  1. Convert revolutions per minute to revolutions per second: ext{Revolutions per second} = rac{1500}{60}

  2. Substitute into the angular velocity formula: ext{Angular Velocity} = rac{1500}{60} imes 2 ext{π} This simplifies to: ext{Angular Velocity} = rac{1500 imes 2 ext{π}}{60}

Step 3

Select the correct expression

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Answer

After simplifying, the correct expression that gives the angular velocity in radians per second is:

D) 1500 × 2π / 60.

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