A disc rotates about its axis with a constant angular acceleration of 4 rad/s², Find the radial and tangential accelerations of a particle at a distance of 1 cm from the axis at the end of the first second after the disc starts rotating.
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Given in the question
Angular accelaration α = 4 rad/s²
Distance, r = 1 cm = 0.01 m
Now for finding the tangential acceleration we know,
Tangential acceleration a is eqaul to
a = rα
a= 0.01 m x 4 rad/s²
a=0.04 m/s²
a= 4 cm/s².
For finding the value of radial acceleration
First we have to know ω on the end of first second disc.
ω= 0 + αt
ω=4 x 1
ω =4 rad/s
Now,
Radial acceleation = ω²r
= 4² x 0.01
=0.16 m/s²
= 16 cm/s².
Hope it Helps. ☺️
Angular accelaration α = 4 rad/s²
Distance, r = 1 cm = 0.01 m
Now for finding the tangential acceleration we know,
Tangential acceleration a is eqaul to
a = rα
a= 0.01 m x 4 rad/s²
a=0.04 m/s²
a= 4 cm/s².
For finding the value of radial acceleration
First we have to know ω on the end of first second disc.
ω= 0 + αt
ω=4 x 1
ω =4 rad/s
Now,
Radial acceleation = ω²r
= 4² x 0.01
=0.16 m/s²
= 16 cm/s².
Hope it Helps. ☺️
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