Assume that the turntable deccelerated during time δt before reaching the final angular velocity ( δt is the time interval between the moment when the top disk is dropped and the time that the disks begin to spin at the same angular velocity). what was the average torque, ⟨τ⟩, acting on the bottom disk due to friction with the record? express the torque in terms of it, ωi, ωf, and δt.

Read the excerpt from the dark game: true spy stories from invisible ink to cia moles. yet, by the time robert e. lee surrendered to ulysses grant at appomattox, virginia, some four years later, about 620,000 soldiers had died on the battlefields, more than american battle deaths in all other wars from the revolution through the vietnam war. what is the author’s primary purpose for including this detail? to inform readers about the differences between three military conflicts to persuade readers of the seriousness of the american civil war to entertain readers with tales from behind the lines of battle to encourage readers to visit battlegrounds in appomattox, virginia