▶️In a clock the minute hand has radius 49 cm, so find distance and displacement if minute on 20 minutes
Answers
Answer:
Algebraic equation, statement of the equality of two expressions formulated by applying to a set of variables the algebraic operations, namely, addition, subtraction, multiplication, division, raising to a power, and extraction of a root. Examples are x3 + 1 and (y4x2 + 2xy – y)/(x – 1) = 12.
Angle made by minute hand in 60 min= 360
So angle made in 20 min = 360/3 = 120
as 60/3 = 20 So its 1/3 rd of 360
Or
Or360× 20/60 = 6× 20 = 120
Arc length ( ASB)( Distance ) = theta × radius
= 120 × pie/180 ( radian converted) × 49
= 120 × 22 × 49/(7× 180)
= 120 × 22 × 49/(7× 180)= 120× 22 × 7 / 180
= 120 × 22 × 49/(7× 180)= 120× 22 × 7 / 180= 2× 22× 7/ 3 = 308/3= 102.66
Displacement ( AB)
Draw perpendicular from O to AB
Draw perpendicular from O to ABAs its isosceles triangle
Draw perpendicular from O to ABAs its isosceles triangleso it would be perpendicular bisector
Draw perpendicular from O to ABAs its isosceles triangleso it would be perpendicular bisectoralso angle bisect
Draw perpendicular from O to ABAs its isosceles triangleso it would be perpendicular bisectoralso angle bisectAOF = 60
Draw perpendicular from O to ABAs its isosceles triangleso it would be perpendicular bisectoralso angle bisectAOF = 60In OAF
Draw perpendicular from O to ABAs its isosceles triangleso it would be perpendicular bisectoralso angle bisectAOF = 60In OAFAF = sin60 × AO = 49 × √3/2
Draw perpendicular from O to ABAs its isosceles triangleso it would be perpendicular bisectoralso angle bisectAOF = 60In OAFAF = sin60 × AO = 49 × √3/2As AF = FB
Draw perpendicular from O to ABAs its isosceles triangleso it would be perpendicular bisectoralso angle bisectAOF = 60In OAFAF = sin60 × AO = 49 × √3/2As AF = FBSo AB = 2× 49√3/2 = 49√3 which is displacement