Help with simple kinematic problem

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SUMMARY

The discussion focuses on calculating the speed of a conveyor belt in a fast food restaurant that is 1.1 meters long and requires 2.5 minutes for burgers to cook. The calculated speed of the conveyor belt is 0.44 meters per minute. Additionally, the forum participant seeks assistance in determining the rate of burger production based on a spacing of 15 centimeters between burgers. The correct approach involves understanding the relationship between distance, rate, and time to derive the production rate accurately.

PREREQUISITES
  • Understanding of basic kinematics, specifically distance, rate, and time relationships.
  • Familiarity with unit conversions, particularly between meters and centimeters.
  • Knowledge of algebraic manipulation to solve equations.
  • Basic understanding of production rate calculations in a conveyor system.
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  • Research "Kinematic equations for linear motion" to solidify understanding of distance, rate, and time.
  • Learn about "Unit conversion techniques" for converting between different measurement systems.
  • Explore "Production rate calculations in manufacturing" to apply concepts in real-world scenarios.
  • Investigate "Conveyor belt design principles" to understand factors affecting speed and efficiency.
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Students studying physics, engineers involved in manufacturing processes, and anyone interested in optimizing production systems in food service or similar industries.

MidgetDwarf
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A fast food restaurant uses a conveyor belt to send the burgers through a grilling machine. If the grilling machine is 1.1 m long and the burgers require 2.5 min to cook, how fast must the conveyor travel?

If the burgers are spaced 15 cm apart, what is the rate of of burger production (in burgers min)?

For the first question:

Distance of belt=rate×time to cook

Which gives me. 0.44 m/min

However, the second part is giving me problems.

I did 1.1m=0.15mB+(o.44 m/s + Db) (2.5 min-B) which is wrong. Any hint?
 
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Your speed is in meters per minute, and the value looks good.

Now, how many burgers (and partial burgers) are there in one meter?
 

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