1. Investigate whether the following ratios are dimensionless or not. Show all yourworkings and indicate by Yes, if the ratio is dimensionless otherwise indicate by No.Use Table Q2ΔΡPVZa)b)c)V(p/p)2. The velocity of sound c of a gas varies with pressure p and density p. Show bydimensional reasoning that the proper form must be c = (constant) (p/p)¹/2.Table Q2: Dimensional AnalysisQuantityAreaVolumeVelocityAccelerationAngular velocityForceMassDensitySpecific weightPressureDynamic viscosityKinematic viscosityPowerVolumetric flow rateMass flow rateSurface tensionWeightTorqueSymbolAVVa(0)FmPYPHVWQmσWTM-L-TL²L³LT¹LT-2TMLT-2MML-3ML-2T-2MLT-2MLT-1L²T-1ML²T-3L³T-1MT-1MT-2MLT-2ML²T-²F-L-TL²L.³LTLT2T¹FFT2L-1FT²L-FL-3FL-2FTL-2L²T-1FLTL³T-1FTL-1FL-¹FFL

Answered: Image /qna-images/answer/13092051-7129-44e8-a27c-604ff2b1494f.jpg

1. Investigate whether the following ratios are dimensionless or not. Show all your workings and indicate by Yes, if the ratio is dimensionless otherwise indicate by No. Use Table Q2 AP b) (P/P)2 2. The velocity of sound c of a gas varies with pressure p and density p. Show by dimensional reasoning that the proper form must be c = ( = (constant) (p/p) ¹/2.

1. Investigate whether the following ratios are dimensionless or not. Show all your workings and indicate by Yes, if the ratio is dimensionless otherwise indicate by No. Use Table Q2 AP b) (P/P)2 2. The velocity of sound c of a gas varies with pressure p and density p. Show by dimensional reasoning that the proper form must be c = ( = (constant) (p/p) ¹/2.

Inquiry into Physics

8th Edition

ISBN:9781337515863

Author:Ostdiek

Publisher:Ostdiek

Chapter6: Waves And Sound

Section: Chapter Questions

Problem 27Q

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