An Old 78 Rpm Record Rotates Through an Angle $320 ^ { \circ }$

Multiple Choice

An old 78 rpm record rotates through an angle of $320 ^ { \circ }$ as it slows down uniformly from 78.0 rpm to 22.8 rpm. What is the magnitude of the angular acceleration of the record?

A) $5.46 \mathrm { rad } / \mathrm { s } ^ { 2 }$
B) $2.34 \mathrm { rad } / \mathrm { s } ^ { 2 }$
C) $10.9 \mathrm { rad } / \mathrm { s } 2$
D) $8.35 \mathrm { rad } / \mathrm { s } ^ { 2 }$
E) $6.50 \mathrm { rad } / \mathrm { s } ^ { 2 }$