A cyclonic separator device for removing dust or debris from dirt-laden air, the device including: a first separating chamber for separating relatively coarse dust or debris from the dirt-laden air; an inlet through which dirt-laden air is drawn into the first separating chamber; a first dirt collection chamber in communication with the first separating chamber; a shroud; a second separating chamber positioned generally within the shroud for separating relatively fine dust or debris from the dirt-laden air cleaned by the first separating chamber, a second dirt collection chamber in communication with the second separating chamber; an outlet through which cleaner air exits the second separating chamber; wherein the first separating chamber includes a generally cylindrical portion with a central axis and wherein the inlet is configured to direct the incoming dirt-laden air into said generally cylindrical portion such that it travels circumferentially around an inner surface of the first separating chamber, wherein the shroud is positioned generally centrally of the generally cylindrical portion of the first separating chamber and the shroud has a generally cylindrical portion with openings therein for the passage of air therethrough towards the second separating chamber, wherein the second dirt separating chamber includes: an inlet through which cleaned dirt-laden air exiting the first separating chamber is drawn into the second separating chamber; a generally frusto-conical portion with a central axis and the frusto-conical portion has an end-part in communication with the second dirt collection chamber through which fine dust or debris exits therethrough into the second dirt collection chamber, and wherein the inlet of the second separating chamber is configured to direct the incoming said cleaned dirt-laden air such that it travels circumferentially around an inner surface of the generally frusto-conical portion, and characterized in that the second dirt collection chamber includes: a first portion which surrounds an outer surface of the end part of the frusto-conical portion to define a space S1 therebetween; and a second portion connected to the first portion, wherein the first portion has a greater cross-sectional area than the second portion. a first separating chamber for separating relatively coarse dust or debris from the dirt-laden air; an inlet through which dirt-laden air is drawn into the first separating chamber; a first dirt collection chamber in communication with the first separating chamber; a shroud; a second separating chamber positioned generally within the shroud for separating relatively fine dust or debris from the dirt-laden air cleaned by the first separating chamber, a second dirt collection chamber in communication with the second separating chamber; an outlet through which cleaner air exits the second separating chamber; wherein the first separating chamber includes a generally cylindrical portion with a central axis and wherein the inlet is configured to direct the incoming dirt-laden air into said generally cylindrical portion such that it travels circumferentially around an inner surface of the first separating chamber, wherein the shroud is positioned generally centrally of the generally cylindrical portion of the first separating chamber and the shroud has a generally cylindrical portion with openings therein for the passage of air therethrough towards the second separating chamber, wherein the second dirt separating chamber includes: an inlet through which cleaned dirt-laden air exiting the first separating chamber is drawn into the second separating chamber; a generally frusto-conical portion with a central axis and the frusto-conical portion has an end-part in communication with the second dirt collection chamber through which fine dust or debris exits therethrough into the second dirt collection chamber, and wherein the inlet of the second separating chamber is configured to direct the incoming said cleaned dirt-laden air such that it travels circumferentially around an inner surface of the generally frusto-conical portion, and characterized in that the second dirt collection chamber includes: a first portion which surrounds an outer surface of the end part of the frusto-conical portion to define a space S1 therebetween; and a second portion connected to the first portion, an inlet through which cleaned dirt-laden air exiting the first separating chamber is drawn into the second separating chamber; a generally frusto-conical portion with a central axis and the frusto-conical portion has an end-part in communication with the second dirt collection chamber through which fine dust or debris exits therethrough into the second dirt collection chamber, and wherein the inlet of the second separating chamber is configured to direct the incoming said cleaned dirt-laden air such that it travels circumferentially around an inner surface of the generally frusto-conical portion, and characterized in that the second dirt collection chamber includes: a first portion which surrounds an outer surface of the end part of the frusto-conical portion to define a space S1 therebetween; and a second portion connected to the first portion, a first portion which surrounds an outer surface of the end part of the frusto-conical portion to define a space S1 therebetween; and a second portion connected to the first portion, wherein the first portion has a greater cross-sectional area than the second portion.