The value of angle θ through which the mass moves through is 12.15⁰.
What is acceleration?
The acceleration of an object is the rate of change of velocity of the object with time.
Acceleration of the mass
The acceleration of the mass is calculated as follows;
a = v²/r
where;
- v is speed of the mass
- r is radius of the circular path
a = (2.25²)/(2.4)
a = 2.11 m/s²
Angle of the inclination
tan θ = a/g
where;
- g is acceleration due to gravity
tan θ = 2.11 / 9.8
tan θ = 0.215
θ = tan⁻¹(0.215)
θ = 12.15⁰
Thus, the value of angle θ through which the mass moves through is 12.15⁰.
Learn more about angle of inclination here: https://brainly.com/question/2763627
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