Dimensional Analysis

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What is dimensional analysis?

Back

Dimensional analysis is a mathematical technique used to convert units from one system to another, ensuring that the equations remain consistent in terms of dimensions.

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How do you convert grams to kilograms?

Back

To convert grams to kilograms, divide the number of grams by 1000. (1 kg = 1000 g) Example: 354 g = 354/1000 = 0.354 kg.

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How many hours are in a fortnight?

Back

A fortnight is 2 weeks. Since 1 week = 7 days and 1 day = 24 hours, a fortnight has 2 * 7 * 24 = 336 hours.

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What is the conversion factor between yards and feet?

Back

1 yard = 3 feet. To convert yards to feet, multiply the number of yards by 3.

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How do you convert seconds to hours?

Back

To convert seconds to hours, divide the number of seconds by 3600. (1 hour = 3600 seconds) Example: 4.2 seconds = 4.2/3600 = 0.00117 hours.

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How do you convert meters to centimeters?

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To convert meters to centimeters, multiply the number of meters by 100. (1 m = 100 cm) Example: 300 m = 300 * 100 = 30,000 cm.

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What is the purpose of dimensional analysis in problem-solving?

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Dimensional analysis helps verify the correctness of equations and conversions, ensuring that the units are consistent and that the calculations are accurate.

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What is the relationship between different units of measurement?

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Different units of measurement can be related through conversion factors, which express how many of one unit are equivalent to another.

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How do you set up a dimensional analysis problem?

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To set up a dimensional analysis problem, identify the given quantity, the desired quantity, and the appropriate conversion factors to link them.

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What is a conversion factor?

Back

A conversion factor is a numerical ratio that expresses how many of one unit are equivalent to another unit, used to convert between different units.