the ends of a 30-cm pendulum describe an arc of a 12cm. through what angle does

[marlon]

the pendulum swing? the ends of a 30-cm pendulum describe an arc of a 12cm. through what angle does the pendulum swing?

[como]

C = 2 x π x 30 cm

C = 60 π

Arc Length (cm)_______Angle at centre ( radians )
60Ï€____________________2Ï€
12___________________12 / (60Ï€) x 2Ï€ = 2/5

Pendulum swings thro` an angle of 2/5 radians = 0.4 radians

2π radians <---------->360°
0.4 radians <-------->0.4 / ( 2π ) x 360 ° = 22.9 °

Swings thro ` an angle of 22.9 °