i have a question about significant figures and unsure on how many i should have

Question

i have a question about significant figures and unsure on how many i should have, for this particular data set is should be three correct? please help

Part 1 Disk Alone Angular acceleration (rad/s^2) Tension Ft in string (N) Ft-fk (N) Net Torque t =r(Ft-fk) (Nm) Theoretical moment of inertia I=.5MR^2 (kg m^2 Experimental moment of inertia I = / =r(Ft-fk)/ (kgm^2) Mass of disk (kg) 1.5 Trial 1 1.991 2.936965716 2.544965716 0.012928426 0.009408 0.006493433 Radius of disk (m) 0.112 Trial 2 1.953 2.937023628 2.545023628 0.01292872 0.009408 0.006619928 Radius of shaft (m) 0.00508 Trial 3 2.059 2.936862084 2.544862084 0.012927899 0.009408 0.006278727 Mass of ring (kg) 1.42 Trial 4 1.938 2.937046488 2.545046488 0.012928836 0.009408 0.006671226 Inner radius of ring (m) 0.04433 Trial 5 1.995 2.93695962 2.54495962 0.012928395 0.009408 0.006480398 Outer radius of ring (m) 0.062 Mean 0.006508743 difference(%) -36% SD 0.00015224 Within 1SD? no Force of Kinetic Friction (N) 0.392 Hanging mass over pulley 0.3 Disk Plus Ring Angular acceleration (rad/s^2) Tension Ft in string (N) Ft-fk (N) Net Torque t =r(Ft-fk) (Nm) Theoretical moment of inertia I=.5M(disk)R^2 + .5M(ring)(R^2 +R^2) (kgm^2) Experimental moment of inertia I = / =r(Ft-fk)/ (kgm^2) Trial 1 1.251 2.938093476 2.497093476 0.012685235 0.013532496 0.010140076 Trial 2 1.263 2.938075188 2.497075188 0.012685142 0.013532496 0.01004366 Trial 3 1.25 2.938095 2.497095 0.012685243 0.013532496 0.010148194 Trial 4 1.278 2.938052328 2.497052328 0.012685026 0.013532496 0.009925685 Trial 5 1.286 2.938040136 2.497040136 0.012684964 0.013532496 0.009863891 Force of Kinetic Friction (N) 0.441 Mean 0.010024301 difference(%) -30% Hanging mass over pulley 0.3 SD 0.000127067 Within 1SD? no Part 2 Angular velocity before ring is dropped, i (rad/s) Angular velocity after ring is dropped, f (rad/s) Moment of inertia of disk, Ii I=.5M(disk)R^2 (kgm^2) Moment of inertia of disk plus ring =, If I=.5M(disk)R^2 + .5M(ring)(R^2 +R^2) (kgm^2) Angular momentum before ring is dropped L=Iii (kgm^2/s) Angular momentum after ring is dropped L=Iff (kgm^2/s) 9.918 6.973 0.009408 0.013532496 0.093308544 0.094362093 difference(%) 1.13%

Explanation / Answer

Rules for significant figure-

Note: In a calculation involving multiplication, division, trigonometric functions, etc., the number of significant digits in an answer should equal the least number of significant digits in any one of the numbers being multiplied, divided etc.

so on the basis of rules, as your data have least significant figures in mass therefore final significant figures should equal as in mass.

then you have to use scientific notation in final solution to show in significant figures please refer to last rule (4).

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