A metal sphere of radius r is dropped into a tank of water. As it sink at speed v, it experience a drag force F given by F= krv, where k is a constant. What are the SI base units of k?
Correct answer: C. kg m-1s-1
- A. kg m2s-1
- B. kg m2s-2
- C. kg m-1s-1
- D. kg ms-2
Explanation
The following is the solution:F=krv which is equal to F/rvk=F/rv=kgms-2/m.ms-1=kgm-1s-1.
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About Measurements
Physical quantities are expressed with SI base and derived units, while measurement limits are described through accuracy, precision, absolute and percentage error, and significant figures. Dimensional analysis checks equations, derives relationships and detects inconsistent units, but it cannot determine numerical constants or distinguish quantities with identical dimensions.
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